Answer:
The other angle is 60°
Their ratio is 1 : 2
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