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.
  • A
    $85^\circ$
  • B
    $135^\circ$
  • $145^\circ$
  • D
    $110^\circ$

Answer: C.

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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.
  • An acute angled triangle.
  • B
    An obtuse angled triangle.
  • C
    A right triangle.
  • D
    An isosceles triangle.

Answer: A.

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Q 3M.C.Q1 Mark
Write the correct answer in the following: Angles of a triangle are in the ratio $2 : 4 : 3$. The smallest angle of the triangle is,
  • A
    $60^\circ$
  • $40^\circ$
  • C
    $80^\circ$
  • D
    $20^\circ$

Answer: B.

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Q 4M.C.Q1 Mark
Write the correct answer in the following: In Fig. $POQ$ is a line.The value of $x$ is.
  • $20^\circ$
  • B
    $25^\circ$
  • C
    $30^\circ$
  • D
    $35^\circ$

Answer: A.

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Q 5M.C.Q1 Mark
Write the correct answer in the following: An exterior angle of a triangle is $105^\circ$ and its two interior opposite angles are equal. Each of these equal angles is,
  • A
    $37\frac{1}{2}^\circ$
  • $52\frac{1}{2}^\circ$
  • C
    $72\frac{1}{2}^\circ$
  • D
    $75^\circ$

Answer: B.

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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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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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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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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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