Question 1.

Draw the pairs of angles as described below. If that is not possible, say why.

i. Complementary angles that are not adjacent.

ii. Angles in a linear pair which are not supplementary.

iii. Complementary angles that do not form a linear pair.

iv. Adjacent angles which are not in linear pair.

v. Angles which are neither complementary nor adjacent.

vi. Angles in a linear pair which are complementary.

Solution:

i.

ii. Sum of angles in a linear pair is 180°.

i.e. they are supplementary .

∴ Angles in a linear pair which are not supplementary cannot be drawn.

iii.

iv.

v.

vi. Angles in linear pair have their sum as 180° But, complementary angles have their sum as 90°.

∴ Angles in a linear pair which are complementary cannot be drawn.

Note: Problem No. i, iii, iv, and v have more than one answers students may draw angles other than the once given.

**Intext Questions and Activities**

Question 1.

Observe the adjacent figure and answer the following questions: (Textbook pg. no. 29)

- Write the names of the angles in the figure alongside.
- What type of a pair of angles is it?
- Which arms of the angles are not the common arms?
- m∠PQR = __.
- m∠RQS = __.

Solution:

- ∠PQR and ∠RQS
- Angles in a linear pair
- Ray QP and ray QS
- 125
- 55

Here, m∠PQR + m∠RQS = 125° + 55°

= 180°

∴The adjacent angles ∠PQR and ∠RQS are supplementary.