Question

Q1.If measure of two complementary angles are two consecutives even integers, then findvthe measure of the smaller angle.

Answer 1

Explanation:

✬ Smaller Angle = 46° ✬

Step-by-step explanation:

Given:

Measure of two complementary angles are 2 consecutive even integers.

To Find:

What is the measure of smaller angle ?

Solution: Let the first consecutive even integer be x. Therefore, second will be

➟ Second = x + 2

[ Complementary angles ]

Two angles whose sum is equal to 90°.

Here we have

First angle = x

Second angle = x + 2

⟹ x + x + 2 = 90°

⟹ 2x + 2 = 90°

⟹ 2x = (90 – 2)°

⟹ 2x = 88°

⟹ x = 88°/2

⟹ x = 44°

So we got that angles

First one is 44°

Second is 44 + 2 = 46°

On comparing both

➬ First < Second

Hence,measure of smaller angle is of 46°.

[ Supplementary angles ]

• Two angles whose sum is equal to 180°