Question

Two angles are complementary. The measure of one angle is half the measure of the
other. What is the measure of the smaller angle?

Answer 1

Answer:

two angles are complementary,so sum of them is 90°

let one angle is 2x°

then the other is x°

so,

2x+x=90

=> 3x=90

=> x=90/3=30

so smaller angle is 30 °

Answer 2

Answer:

Measure of smaller angle = 30° [MARK THE ANSWER AS BRAINLIEST]

Step-by-step explanation:

Sum of Complementary angles  = 90°

Given, one angle is half of the other

Lets suppose one angle be of x°

∴ Other angle = x/2°

∠1 + ∠2 = 90°

x + x/2 = 90°

3x/2 = 90°

3x = 2 × 90°

x = 180°/3 = 60°

Therefore, Angle 1 [ ∠1 ]  = 60°

Other Angle [ ∠2 ] = 60/2 = 30°  [Smaller Angle]