Question

Page No.

Answer 1

Answer:

The other angle is 60°

Their ratio is 1 : 2

Step-by-step explanation:

Let us revise some special angles

A pair of complementary angles is two angles their sum is 90°

A pair of supplementary angles is two angles their sum is 180°

In the question

∵ One angle of the pair of complementary angle = 30°

∵ The sum of the two complementary angles = 90°

→ Subtract 30° from 90° to find the other angle

∴ The other angle = 90° - 30° = 60°

∴ The other angle is 60°

To find the ratio of them put them in the form of the ratio, then simplify the ratio to its simplest form

∵ Their ratio = 30 : 60

→ Divide both sides by 10

∴ Their ratio = 3 : 6

→ Divide both sides by 3

∴ Their ratio = 1 : 2

∴ Their ratio is 1 : 2