Chapter 4 Angles and Pairs of Angles Set 4.5
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 180Â°.
i.e. they are supplementary .
âˆ´ Angles in a linear pair which are not supplementary cannot be drawn.
iii.
iv.
v.
vi. Angles in linear pair have their sum as 180Â° But, complementary angles have their sum as 90Â°.
âˆ´ 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?
 mâˆ PQR = __.
 mâˆ RQS = __.
Solution:
 âˆ PQR and âˆ RQS
 Angles in a linear pair
 Ray QP and ray QS
 125

55
Here, mâˆ PQR + mâˆ RQS = 125Â° + 55Â°
= 180Â°
âˆ´The adjacent angles âˆ PQR and âˆ RQS are supplementary.