Question

Angle of measure (a+5)° and (4a - 15)° are complementary.What is the measure of each angle ?

Answer 1

Answer:

25° and 65°

Step-by-step explanation:

complementary angle measures 90°

1st angle = (a + 5)°

2nd angle = (4a - 15)°

sum of the angles = 90°

a + 5 + 4a - 15 = 90

5a - 10 = 90

5a = 90 + 10

5a = 100

a = 100/5

a = 20

1st angle = a + 5 = 20 + 5 = 25°

2nd angle = 4a - 15 = 4(20) - 15 = 80 - 15 = 65°

Hope you get your answer