Question

What is the measure of an angle whose supplement is three times its complement?

Answer 1

45 degrees. Since a supplementary angle totals to 180, and a complementary totals to 90, the answer would be 45, as 45 is the compliment to 45, and 135 is the supplemnt. 135/3 is 45, so the original angle must be 45.

Answer 2

45⁰

Explanation:

Angke = x

Supplement = 180 - x

Complement = 90 - x

Given:

180 - x = 3(90 - x)

180 - x = 270 - 3x

2x = 90

x = 45⁰