Question

The measures of the complement of an angle exceed the measures of the angle
by 24°. Find the measure of the angle.​

Answer 1

Answer:

Your answer is given in the following steps -::

Sol. Let the first angle be x°.

And its complement angle = x° + 24°

According to question

x + x + 24° = 90°

2x + 24° = 90°

2x = 90° - 24°

2x = 66°

x = 66/2

x = 33°

Hence First angle = 33°

And complement angle = 33° + 24°

= 57°

Thanku

Answer 2

Explanation:

Let the first angle be y

Then another angle = y + 24

Sum of complementary angles = 90 degree

A/Q, y + y + 24 = 90

2 y = 90 - 24

2y = 66

y = 33

● So first angle = y = 33 degree. ANS

● Second angle = y + 24 = 57 degree. ANS

HOPE IT CAN HELP YOU.