Question

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Answer 1

Answer:

Step-by-step explanation:

What are the given options

Answer 2

Question:

The measure of an angle is three times the measure of its complement. Then find the angles.

Solution:

Note:

• Two angles are said to be complementary angles if their sum is equal to 90°.
• Two angles are said to be supplementary angles if their sum is equal to 180°.

Now,

Let the angle be x

then its complementary angle will be

(90° - x).

Now;

According to question the angle is three times the measure of its complement.

ie;

=> x = 3(90° - x)

=> x = 270° - 3x

=> x + 3x = 270°

=> 4x = 270°

=> x = 270°/4

=> x = 67.5°

Hence,

The angle is 67.5°

Also,

The complementary of the angle is

(90°- 67.5°) ie; 22.5°

Hence;

The required pair of angles is ;

22.5° and 67.5°