Question

Two angles are given as complimentary, the larger angle is twice the measure of the smaller angle. What measure is the smaller angle?

Answer 1

The smaller angle is 30 degrees.

Explanation:

Let the two angles be x and y, and replace y with 2x, since y is twice x. Then x + y = 90 degrees (complementary angles), and x + (2x) = 90.

Solving for x: 3x = 90, and x = 30.