Question

An angle measures 46° more than its complementary angle. What is the measure of each angle?

Answer 1

first angle = 22°

Second angle= 22+ 46 = 68°

Explanation:

Complementary angles are angles that sum up to 90°

Let the first angle= x°

Second angle = (x+ 46)°

Therefore, x° + ( x + 46)° = 90°

Simplifying x + x + 46 = 90

2x = 90- 46

2x = 44

Dividing both sides by 2

X = 44/2

X = 22°

Therefore, first angle = 22°

Second angle= 22+ 46 = 68°

Answer 2

22°, 68°

Explanation:

complementary angles add up to 90°

1st angle=x, 2nd angle=(x+46)

(x+46)+x=90

simplify

2x=44

x=22

22, 68