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:

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°

Answer 2

Answer:

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°