Question

∠A and
∠
B
∠B are supplementary angles. If m
∠
A
=
(
7
x
+
7
)
∘
∠A=(7x+7)
∘
and m
∠
B
=
(
4
x
−
14
)
∘
∠B=(4x−14)
∘
, then find the measure of
∠
B
∠B.

Answer 1

Supplementary angles mean that the angles add up to a measure of 180.

angle A+ angle B = 180
(7x+7)+(4x-14)=180

Combine like terms

11x-7=180
11x=187
x=187/11
x=17

Insert x value.

4(17)-14

68-14

54.

Measure of A would be
7(17)+7
126

54+126 is 180 so they are supplementary.

Again, measure of angle B is 54