State whether the statements are True or False.

One obtuse angle and one acute angle can make a pair of complementary angles.

Fill in the blanks:

(i) If two angles are complementary, then the sum of their measures is ________.

(ii) If two angles are supplementary, then the sum of their measures is ________.

(iii) Two angles forming a linear pair are ______.

(iv) If two adjacent angles are supplementary, they form a __________.

(v) If two lines intersect at a pint, then the vertically opposite angles are always_______.

(vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute

angles, then the other pair of vertically opposite angles are ________.

In the figure given below:

(i) Is ∠1 adjacent to ∠2?

(ii) Is ∠AOC adjacent to ∠AOE?

(iii) Do ∠COE and ∠EOD form a linear pair?

(iv) Are ∠BOD and ∠DOA supplementary?

(v) Is ∠1 vertically opposite to ∠2?

(vi) What is the vertically opposite angle of ∠5?

In the adjoining figure, name the following pairs of angles.

(i) Obtuse vertically opposite angles

(ii) Adjacent complementary angles

(iii) Equal supplementary angles

(iv) Unequal supplementary angles

(v) Adjacent angles that do not form a linear pair

Find the values of the angles x, y and z in each of the following:

(i)

(ii)

Can two angles be supplementary if both of them are:

(i) Acute

(ii) Obtuse

(iii) Right?

In the figure given below, is ∠1 adjacent to∠2? Give reasons.

Indicate which pairs of angles are:

(i) Vertically opposite angles.

(ii) Linear pairs.

In Fig. 5.36, PQ || RS, TR || QU and ∠PTR = 42°. Find ∠QUR.

State whether the statements are True or False.

Two adjacent angles always form a linear pair.

The sum of two vertically opposite angles is 166°. Find each of the angles.