Question

An angle is 6 degrees more than twice its complement. What is the measure of the angle?

Answer 1

Let the measure of one angle be x degrees
therefore measure of its complement would be (x+ 6) degrees
Since the sum of complementary angle = 90 degrees
therefore
x+ (x+6) = 90
2x+6 = 90
2x = 90-6
2x= 84
x= 84/2
x= 42 therefore x+ 6 = 42 + 6 = 48
hence the measure of the angles are 42 degrees and 48 degrees.