Question

find the difference between the Supplementary angle and the complementary angle of the angle of measures 75 degree

Answer 1

supplementary angle of 75 = 105
complimentary angle of 75 = 15
their difference is 90

Answer 2

Given:

The measure of the given angle = 75°

To Find:

The difference between supplementary and complementary angles of the angle measuring 75°.

Solution:

The supplementary angles are the angles whose sum is equal to 180°.

The supplementary angle for 75° (∠1) = (180-75)° = 105°

The complementary angles are the angles whose sum is equal to 90°.

The complementary angle for 75° (∠2) = (90-75)° = 15°

The difference of ∠1 and ∠2 = ∠1 - ∠2 = (105 - 15)° = 90°

Hence, the difference between the supplementary angle and the complementary angle of the angle of measure at 75° is 90°.