Answer to Question #14465 in Geometry for dale

Question

two angles are complementary. the measure of one angle is 21 more than twice the measure of the other angle. find the measure of the angles.

Answer 1

Sum of complementary angles is 90
Let measure of the second angle is x. Then measure of the first is 2x+21
So
2x+21+x=90
3x=90-21
x=69/3=23 - second angle
first 23*2+21=67