The sum of the measures of 2 complementary angles is °90. Is one angle measures °15 more than twice the measure of the the other, find the measures of the smaller triangle

Answer 1

Let the measure of the smaller angle be x degrees.

Since the sum of the measures of the two complementary angles is 90 degrees, the measure of the larger angle is 90 - x degrees.

According to the given condition, the larger angle is 15 degrees more than twice the measure of the smaller angle:

90 - x = 2x + 15
90 = 3x + 15
75 = 3x
x = 25

Therefore, the measure of the smaller angle is 25 degrees, and the measure of the larger angle is 90 - 25 = 65 degrees.