Question

A

∠A and
∠
B
∠B are vertical angles. If m
∠
A
=
(
3
x
+
26
)
∘
∠A=(3x+26)
∘
and m
∠
B
=
(
x
+
20
)
∘
∠B=(x+20)
∘
, then find the value of x.

Answer 1

x=-3

Explanation:

Vertical angles are always equal. We need to set the equations inside of the parenthesis equal.

3x+26=x+20

subtract x from both sides

2x+26=20

subtract 26 from both sides

2x=-6

divide both sides by 2

x=-3