The measure of the supplement is 10 more than 5 times the measure of the complement. Find the measure of the complement.

Question

How do you solve this word problem?

Answer 1

Let complement of x be y

X+y=90

X=90-y ———1

Let Supplement of x be z

X+z=180

X=180-z -———2

Given Z=5y+10

From 1 And 2,

90-y=180-z

Substitute for z

90-y = 180-(5y+10)

90-y = 180-5y-10

4y=80

Y=20

Measure of complement is 20 degrees

hope this helps!