The measure of an angle is two times the measure of its complementary angle. What is the measure of each angle?

Question

Help i need to figure this help

Answer 1

30 and 60 degrees, or pi/6 and pi/3 radians

A = 2(90-A) = 180 - 2A

3A = 180

A = 180/3 = 60 degrees which is twice the complementary angle of 30 degrees

complementary angles sum to 90 degrees or pi/2 radians. If an angle is A, it's complement is 90-A. If an angle is 60, its complementary angle is 90-60 = 30 degrees.

(complementary is not complimentary, the 6th letter is different. An "e" and an "i" make the meaning very different)

60 degrees converts to radians by multiplying by pi/180. 60 x pi/180 = 60pi/180 = pi/3

30 degrees multiplied by pi/180 = 30pi/180 = pi/6