the measure of angle d is 5 times the measure of angle e. What is their measures?

Question

the two angles are supplementary.

Answer 1

If the measure of angle d is 5 times the measure of angle e, then:

 

d = 5e

 

Now, we also know the two angles are supplementary (add to 180).  So:

 

d + e = 180

 

To solve, substitute what d is in the 1st eq (5e) for d in the 2nd eq. Then:

 

5e + e = 180 => 6e = 180 => e = 30.

 

If e = 30, then d must be 180 - 30 = 150.