Special Angles

IMPORTANT

Special Angles: Overview

This topic covers concepts, such as, Related Angles, Properties of Vertically Opposite Angles, Pair of Alternate Interior Angles of Transversal & Relation between Pairs of Alternate Interior Angles of Transversal of Parallel Lines etc.

Important Questions on Special Angles

EASY
IMPORTANT

The external bisector of ABC in ABC intersects the straight line through A and parallel to BC at the point D. If ABC =50°  then measure of ADB is equal to_______.

EASY
IMPORTANT

In the following fig, FD and AE are parallel to each other and ABC=490, then ABC+DCB is equal to

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MEDIUM
IMPORTANT

In the figure given, BDAE. If CE=3 cm, what is the length of AC?

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HARD
IMPORTANT

Consider the following statements regarding vertically opposite angle:

i. Vertically opposite angles share a common point.

ii. The point which is a common vertex of two vertically angles is also called the point of concurrency

iii. Vertical angles are a pair of adjacent angles 

Which of the above statements is/ are not correct?

HARD
IMPORTANT

Which of the following statements is/are true for vertically opposite angles:

iVertical angles are always equal.

iiVertical angles can be supplementary as well as complimentary.

iiiVertical angles are always adjacent.

HARD
IMPORTANT

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If lines PQ and RS intersect at point T, such that PRT=39°, RPT=71° and TSQ=55°. Find SQT.

EASY
IMPORTANT

In the figure, what is the value of 4x+20?

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EASY
IMPORTANT

Find the measurement of the angles from the given figure,

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Here, 2=135°. Find the value of 4.

MEDIUM
IMPORTANT

Refer to the figure. Fill in the blank.

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2 and _____ are vertical angles.

EASY
IMPORTANT

Find the measurement of the angles from the given figure,

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Here, 1=35°. Find the value of 4.

MEDIUM
IMPORTANT

In the given figure, if QPSR, then the value of a is

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EASY
IMPORTANT

In the given figure, a and b are

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HARD
IMPORTANT

In the given figure, PQSR and SPRQ. Then, angles a and b are respectively

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HARD
IMPORTANT

In the given figure, PABCDT and ABDC. Then, the values of a and b are respectively.

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HARD
IMPORTANT

In the given figure, if ABCD, APQ=50° and PRD=130°, then QPR is

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EASY
IMPORTANT

In the given figure, CD¯EF¯. The alternate interior angle to CMN is

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MEDIUM
IMPORTANT

AB and CD are parallel lines cut by the transversal t. Find the unknown angle marked x in the following diagram.

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EASY
IMPORTANT

In the given figure, AB  DE.
Find x.

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EASY
IMPORTANT

If two lines intersect, the vertically opposite angle are

EASY
IMPORTANT

In the below figure, what is the value of 3x?

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