Question

Two angles are complementary. The measure of the largest angle is two times the measure of the smaller angle. What is the measure of the larger angle?

Please help! :D

Answer 1

An complementary angle = 90°

one of the angles is twice as large as the smaller one

let the larger angle be x, and the smaller = y

x = 2(y)
x + y = 90

Plug in 2y for x

2y + y = 90

simplify, combine like terms

2y + y = 90

3y = 90

isolate the y, divide 3 from both sides

3y/3 = 90/3

y = 90/3

y = 30

plug in 30 for y in the equation x + y = 90

x + (30) = 90

isolate the x, subtract 30 from both sides

x + 30 (-30) = 90 (-30)

x = 90 - 30

x = 60°

The measurement of the larger angle is 60°

hope this helps