Question

two complementary angles differ by 15°,find the angles.​

Answer 1

Answer:

75

Step-by-step explanation:

complementary angle =90

15

90-15

=75

Answer 2

Answer:

• The complementary angles are of measures 52.5° and 37.5° .

Given:

• Two complementary angles differ by 15°.

To find:

• The angles.

Solution:

Let two complementary angles be x and y.

Sum of complementary angles is 90°

=> x + y = 90°

According to the given condition.

=> x - y = 15°

Add equations (1) & (2), we get

>> 2x = 105°

>> x = 52.5°

Substitute x = 52.5° in equation (1), we get

>> 52.5° + y = 90°

>> y = 90° - 52.5°

>> y = 37.5°

Therefore, the complementary angles are of measures 52.5° and 37.5° .