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Lines and Angles Maths - Lines and Angles

Gujarat Board (GSEB) - STD 9 - Maths (GSEB - English Medium). 276 questions in this chapter.

Question types

Lines and Angles question types

276 questions across 9 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

276
Questions
9
Question groups
5
Question types
Sample Questions

Lines and Angles questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 2M.C.Q1 Mark
Two straight lines AB and CD intersect one another at the point O. If​​ $\angle\text{AOC}+​​\angle\text{COB}+​​\angle\text{BOD}=274^\circ, $ then $\angle\text{AOD}=$
  • A
    86º
  • B
    137º
  • C
    90º
  • D
    94º
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Q 3M.C.Q1 Mark
The number of line segments determined by three given non-collinear points is:
  • A
    Four.
  • B
    Infinitely many.
  • C
    Two.
  • D
    Three.
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Q 8Fill In The Blanks[1 Marks ]1 Mark
If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of the transversal is 180°, then the lines are __________. (Parallel, Perpendicular, Intersecting)
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Q 262 Marks Questions2 Marks
If the $\angle XYZ = {64^\circ }$ and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects $\angle $ZYP, find $\angle $ XYQ and reflex $\angle $QYP.
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Q 283 Marks Question3 Marks
In figure, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B. The reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB || CD.

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Q 344 Marks Questions4 Marks
In Figure lines AB and CD intersect at O. If $\angle AOC + \angle BOE = {70^ \circ }$  and $\angle BOD = {40^ \circ }$,find $\angle BOE$ and reflex $\angle COE$
Fig.6.1.png
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Q 35Case study (4 Marks)4 Marks
Read the Source/ Text given below and answer these questions:

Ashok is studying in 9th class in Govt School, Chhatarpur. Once he was at his home and was doing his geometry homework. He was trying to measure three angles of a triangle using the Dee, but his dee was old and his Dee's numbers were erased and the lines on the dee were visible. Let us help Ashok to find the angles of the triangle. He found that the second angle of the triangle was three times as large as the first. The measure of the third angle is double of the first angle. Now answer the following questions:
  1. What was the value of the first angle?
  1. 30°
  2. 45°
  3. 60°
  4. 90°
  1. What was the value of the third angle?
  1. 30°
  2. 45°
  3. 60°
  4. 90°
  1. What was the value of the second angle?
  1. 30°
  2. 45°
  3. 60°
  4. 90°
  1. What was the value of $\angle4$ as shown the figure?
  1. 120°
  2. 45°
  3. 60°
  4. 90°
  1. What was the sum of all three angles measured by Ashok using Dee?
  1. 270°
  2. 180°
  3. 100°
  4. 90°
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Q 36Case study (4 Marks)4 Marks
Read the Source/ Text given below and answer any four questions: Once 4 students from class IX F were selected for plantation of flower plants in the school garden. The selected students were Pankaj, Raju, Deepak and Renu.

As shown PQ and MN are the parallel lines of the plants. Pankaj planted a sunflower plant at P, thenRaju planted another sunflower at Q. Further, Deepak was called to plant any flowering plant at point M. He planted a marigold there. Now it was the turn of Renu, She was told to plant a flowering plant different from the three planted one So she planted a rose plat at N. There was a water pipeline XY which intersects PQ and MN at A and B and $\angle\text{XBN}=60^\circ.$ Answer the following questions:
  1. What is the value $\angle\text{z}?$
  1. 60°
  2. 120°
  3. 180°
  4. 100°
  1. What is the value of $\angle\text{X}?$
  1. 60°
  2. 120°
  3. 180°
  4. 100°
  1. What is the value of p + q?
  1. 60°
  2. 120°
  3. 180°
  4. 100°
  1. Which angle is the corresponding angle to $\angle\text{a}?$
  1. $\angle\text{z}$
  2. $\angle\text{p}$
  3. $\angle\text{b}$
  4. $\angle\text{q}$
  1. What is the value of $\frac{(\text{p}+\text{q}+\text{a}+\text{z})}{6}?$
  1. 60°
  2. 120°
  3. 180°
  4. 100°
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Q 37Case study (4 Marks)4 Marks
Read the Source/ Text given below and answer any four questions: There were two parallel roads AM and XY in New Delhi. Due to increasing pollution, MCD planned to get planted trees on these roads. On the road AM, plants of Ashoka were planted by one company. While on the road XY mango trees were planted by another company.

Between these roads three streets St1, St2 and St3 were situated. During the survey, $\angle\text{BPQ}$ was measured to be 70° and other angles p, q, r, s and t were also measured. Now answer the following questions:
  1. What is the measure of $\angle\text{p}?$
  1. 60°
  2. 70°
  3. 160°
  4. 100°
  1. What is the measure of $\angle\text{q}?$
  1. 60°
  2. 70°
  3. 160°
  4. 110°
  1. What is the value of $\frac{\text{p}+\text{q}+\text{t}}{5}?$
  1. 50°
  2. 70°
  3. 160°
  4. 100°
  1. What is the measure of $\angle\text{EsY}?$
  1. 60°
  2. 140°
  3. 70°
  4. 110°
  1. What is value of {4p - (q + r) - (r - s)}?
  1. 50°
  2. 100°
  3. 160°
  4. 180°
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Q 38Case study (4 Marks)4 Marks
Read the Source/ Text given below and answer these questions: Reeta and Rohan were playing a game on parallel lines and the angles formed with the transverse line(ie alternate angles, corresponding angle and interior angles). First Reeta drew a straight line AB, then Rohan drew another straight line CD || AB. Further, a transverse line PQ was drawn which intersects lines AB and CD at points X and Y respectively.

Now they did toss with a coin and Rohan won the toss. Following were the rules of the game:
  1. Toss winner will ask a question and others will answer.
  2. If the answer is correct then person answering will ask question else questioner will ask next question.
  3. Who wins the last question he/ she will be the winner.
  4. Total of 5 questions will be asked.
Based on the above paragraph please answer these questions:
  1. Which is the alternate angle to $\angle\text{6}?$
  1. $\angle1$
  2. $\angle2$
  3. $\angle3$
  4. $\angle4$
  1. Which is the corresponding angle to $\angle1?$
  1. $\angle4$
  2. $\angle5$
  3. $\angle6$
  4. $\angle7$
  1. If $\angle4=120^\circ$ then what is measure of $\angle6?$
  1. 80°
  2. 120°
  3. 100°
  4. 60°
  1. What is the sum of $\angle3$ and $\angle5?$
  1. 180°
  2. 160°
  3. 100°
  4. 60°
  1. $\angle5$ is equal to which of the following pair of angles?
  1. $\angle7\text{ and }\angle\text{8}$
  2. $\angle6\text{ and }\angle\text{7}$
  3. $\angle4\text{ and }\angle\text{8}$
  4. $\angle7\text{ and }\angle\text{8}$
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Q 39Case study (4 Marks)4 Marks
Read the Source/ Text given below and answer any four questions: Maths teacher draws a straight line AB shown on the blackboard as per the following figure.
  1. Now he told Raju to draw another line CD as in the figure.
  2. The teacher told Ajay to mark $\angle\text{AOD}$ as 2z.
  3. Suraj was told to mark $\angle\text{AOC}$ as 4y.
  4. Clive Made and angle $\angle\text{COE}=60^\circ.$
  5. Peter marked $\angle\text{BOE}$ and $\angle\text{BOD}$ as y and x respectively.
Now answer the following questions:
  1. What is the value of x?
  1. 48°
  2. 96°
  3. 100°
  4. 120°
  1. What is the value of y?
  1. 48°
  2. 96°
  3. 100°
  4. 24°
  1. What is the value of z?
  1. 48°
  2. 96°
  3. 42°
  4. 120°
  1. What should be the value of x + 2z?
  1. 148°
  2. 360°
  3. 180°
  4. 120°
  1. What is the relation between y and z?
  1. 2y + z = 90°
  2. 2y + z = 180°
  3. 4y + 2z = 120°
  4. y = 2z
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