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Lines and Angles Maths - Lines and Angles

Gujarat Board (GSEB) - STD 9 - Maths (GSEB - English Medium). 35 questions in this chapter.

Question types

Lines and Angles question types

35 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

35
Questions
6
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 1M.C.Q1 Mark
Write the correct answer in the following:
In Fig. if $\text{AB}||\text{CD}||\text{EF},\text{PQ}||\text{RS},$ $\angle\text{RQD}=25^\circ$ and $\angle\text{CQP}=60^\circ,$ then $\angle\text{QRS}$ is equal to.

  1. 85°
  2. 135°
  3. 145°
  4. 110°
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Q 2M.C.Q1 Mark
Write the correct answer in the following:
The angles of a triangle are in the ratio 5 : 3 : 7 The triangle is.
  1. An acute angled triangle.
  2. An obtuse angled triangle.
  3. A right triangle.
  4. An isosceles triangle.
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Q 3M.C.Q1 Mark
Write the correct answer in the following:

In Fig. POQ is a line.The value of x is.

  1. 20°
  2. 25°
  3. 30°
  4. 35°

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Q 4M.C.Q1 Mark
Write the correct answer in the following:
An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is,
  1. $37\frac{1}{2}^\circ$
  2. $52\frac{1}{2}^\circ$
  3. $72\frac{1}{2}^\circ$
  4. $75^\circ$
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Q 5M.C.Q1 Mark
Write the correct answer in the following:
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is.
  1. An isosceles triangle.
  2. An obtuse triangle.
  3. An equilateral triangle.
  4. An equilateral triangle.
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Q 92 Marks Questions2 Marks
If one of the angles formed by two intersecting lines is a right angle, what can you say about the other three angles? Give reason for your answer.
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Q 194 Marks Questions4 Marks
In Fig. $\text{BA}||\text{ED}$ and $\text{BC}||\text{EF}$ . Show that $\angle\text{ABC}=\angle\text{DEF}$
[Hint: Produce DE to intersect BC at P (say)].

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Q 204 Marks Questions4 Marks
In Fig. OD is the bisector of $\angle\text{AOC},$ OE is the bisector of $\angle\text{BOC}$ and $\text{OD}\perp\text{OE}.$ Show that the points A, O and B are collinear.

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Q 235 Marks Questions5 Marks
In Fig. $\angle\text{Q}>\angle\text{R},$ PA is the bisector of $\angle\text{QPR}$ and $\text{PM}\perp\text{QR}$ Prove that $\angle\text{APM}=\frac{1}{2}(\angle\text{Q}-\angle\text{R}).$

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Q 265 Marks Questions5 Marks
Bisectors of interior $\angle\text{B}$ and exterior $\angle\text{ACD}$ of a $\Delta\text{ABC}$ intersect at the point T. Prove that,
$\angle\text{BTC}=\frac{1}{2}\angle\text{BAC}.$
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