Question

two angles are complementary. two times the measure of one is equal to 40% of the measure of the other. find the measure of both angles.

Answer 1

Answer:

a = 15

b = 75

Step-by-step explanation:

Two angles are complementary. Two times the measure of one is equal to 40% of the measure of the other. Find the measure of both angles.

Complementary angles are ones that add up to 90 degrees. Let's say the first complementary angle is a and the second is b.

We know that

2a = 40% of b

this means that

5a = b

and we know that

a + b = 90

Since it's impossible to solve an equation with 2 variables, and we know that b = 5a we can subsitute b for 5a.

a + 5a = 90

Simplify

6a = 90

Divide both sides by 6

a = 15

and if a + b = 90, and a = 15, this means that

15 + b = 90

subtract 15 from both sides:

b = 75

And we can indeed confirm that 30 or 2 x 15 is equal to 40% of 75

Your answer

a = 15

b = 75