Question types

Lines and Triangles question types

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

94
Questions
6
Question groups
5
Question types
Sample Questions

Lines and Triangles 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
If one of the angles of a triangle is $130^\circ $ then the angle between the bisectors of the other two angles can be:
  • A
    $50^\circ $
  • B
    $65^\circ $
  • C
    $90^\circ $
  • $155^\circ$

Answer: D.

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Q 3M.C.Q1 Mark
The measure of an angle is five times its comlement. The angle measure.
  • A
    $25^\circ$
  • B
    $35^\circ$
  • C
    $65^\circ$
  • $75^\circ$

Answer: D.

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Q 4M.C.Q1 Mark
In the given figure, straight lines $AB$ and $CD$ intersect at $O.$ If $\angle\text{AOC}+\angle\text{BOD}=130^\circ$ then $\angle\text{AOD}=?$
  • A
    $65^\circ $
  • $115^\circ$
  • C
    $110^\circ$
  • D
    $125^\circ$

Answer: B.

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Q 5M.C.Q1 Mark
An angle is one fifth of its supplement. The measure of the angle is:
  • A
    $15^\circ$
  • $30^\circ$
  • C
    $75^\circ$
  • D
    $150^\circ$

Answer: B.

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Q 163 Marks Question3 Marks
In the given figure, m and it are two plane mirrors perpendicular to each other. Show that the incident ray $CA$ is parallel to the reflected ray $BD$.
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Q 183 Marks Question3 Marks
If two straight lines intersect each other, then prove that the ray opposite the bisector of one of the angles so formed bisects the vertically-opposite angle.
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If two straight lines intersect in such a way that one of the angles formed measures $90^\circ$, show that each of the remaining angles measures $90^\circ $.
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In the given figure, the two lines $AB$ and $CD$ intersect at a point $O$ such that $\angle\text{BOC}=125^\circ.$ Find the values of $x, y$ and $z.$
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Two lines $AB$ and $CD$ intersect at a point $O,$ such that $\angle\text{BOC}+\angle\text{AOD}=280^\circ,$ as shown in the figure. Find all the four angles.
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In the adjoining figure, three coplanar lines $AB, CD$ and $EF$ intersect at a point $O$. Find the value of $x$. Also, find $\angle\text{AOD},\angle\text{COE}$ and $\angle\text{AOE}.$
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