Question

Find the supplementary angle of the complementary angle of an angle which measure 36

Answer 1

If the sum of two angles is 90⁰, then those two angles are called as complementary angles.

Solution:

Let "x" be the measure of a complementary angle required.

Since "x" and 36° are complementary angles, we have

x + 36° = 90°

x = 90° - 36°

x = 54°

Hence , the measure of the complementary angle is 54°

This means that the measure of the given angle is 36 degrees.

Hence supplementary angle of 36 degrees is 144 degrees.

Thus ratio of the angle to its supplementary angle is 1 : 4.

Answer 2

Complementary Angles :

If the sum of two angles is 90⁰, then those two angles are called as complementary angles.

Solution:

Let "x" be the measure of a complementary angle required.

Since "x" and 36° are complementary angles, we have

x + 36° = 90°

x = 90° - 36°

x = 54°

Hence , the measure of the complementary angle is 54°