Question

What is the measure of an acute angle if twice the measure of its supplement is 24 more than five times the measure of its compliment?

Answer 1

x<90
2(180-x)+24=5(90-x)
360-2x+24=450-5x
-2x+24=90-5x
3x=66
x=22

Answer 2

Thank you so much

Answer 3

if the angle is x the supplement is (180 - x)

the compliment is (90 - x)

the problems reads 2(180 - x) = 5(90 - x) + 24

now solve for x