Question

two angles are complementary. The sum of the measure of the first angle and half the second angle is 69.5 Find the measure of the angles.

Answer 1

x+y=90
so x=90-y
x+.5y=69.5
plug in 90-y for x in x+.5y=69.5
90-y+.5y=69.5
subtract 90 from both sides and combine the ys
-.5y=-20.5
divide both sides by -.5 to isolate the y
*** y=41
then plug that value into the first equation
x+41=90
subtract 41 from both sides
*** x=49

Answer 2

Let x=first angle
then 90-x is the second angle
set up equation using given:
x+.5(90-x)=69.5
x+45+.5x=69.5
1.5x=24.5
x=49 degrees
so the complementary angle must be 90-49= 41 degrees