Question

Two angles are complementary (the sum of the two angles is 90°). The sum of the first

angle plus twice the second angle is 128°. Find the measures of the angles.

Answer 1

A = 52º AND B=38º

Explanation:

Let's call A and B the two angles.

First condition: A + B = 90º

Second cond: A + 2B = 128º

Subtract the first condition to the second: B = 38º

Replace the value of B in any of the 2 conditions; e.g. in the first.

A + 38º = 90º

A = 90º - 38º = 52º