Question

Which three angles would be supplementary? Select ALL that apply.

a 30, 60, 60
b 45, 45, 90
c 72, 28, 80
d 25, 75, 100
e 180, 180, 180

Answer 1

B & C

Explanation:

Supplementary means it equals to the sum of 180.

a) 30 + 60 + 60 = 150

It is less than 180.

b) 45 + 45 + 90 = 180.

This is a possible answer.

c) 72 + 28 + 80 = 180

This is a possible answer.

d) 25 + 75 + 100 = 200

This is greater than 180.

e) 180 + 180 + 180 = 540

This is greater than 180.

Answer 2

Notice the only sets that sum to 180° are the first, fifth, sixth and eighth pairs. Only those pairs are supplementary angles.

...

Identify the ones that are supplementary:

175° and 5° 5 °

137° and 93° 93 °

60° and 60° and 60° 60 °

26° and 116° 116 °

90° and 90° 90 °

85° and 95° 95 °

150° and 31° ...

100° and 80°