Question

∠A and
∠
B
∠B are supplementary angles. If m
∠
A
=
(
3
x
−
12
)
∘
∠A=(3x−12)
∘
and m
∠
B
=
(
4
x
−
25
)
∘
∠B=(4x−25)
∘
, then find the measure of
∠
B
∠B

Answer 1

Answer: $99^{\circ}$

Step-by-step explanation:

1. 3x - 12 + 4x - 25 = 180 [supplementary angles add to 180 degrees]
2. 7x - 37 = 180 [combine like terms]
3. 7x = 217 [add 37 to both sides]
4. x = 31 [divide both sides by 7]

So, $m\angle B=4(31)-25=\boxed{99^{\circ}}$