how do i do thins problem

Question

An angle measures 78° more than the measure of its complementary angle. What is the measure of each angle?

blank° and blank°

Answer 1

ANS) 6 degrees and 84 degrees

An angle measures 78° more than the measure of its complementary angle. What is the measure of each angle?

Complementary angle means that the sum of two angles is 90 degrees.

angle 1 is x

angle 2 is 78+x

angle 1 and angle 2 are complmentary, so set an equation up.

x+(78+x)=90

2x+78+90

2x=12

x=6

x is angle 1, so angle 1 is 6

x+78 is angle 2, so angle 2 is 78+6=84