Two supplementary angles are such that one is 7 times larger than the other. Find the two angles.

Question

word problem

Answer 1

Here's what we know:

a + b = 180 (Supplementary means 2 angles equal 180)

a = 7b (one angle is 7 times as big)

 

we can use substitution here:

7b + b = 180

combine:

8b = 180

divide by 8:

b = 22.5

 

a = 7 * 22.5

a = 157.5

 

check:

157.5 + 22.5 = 180

180 = 180