Question

∠A and

∠
B
∠B are supplementary angles. If
m
∠
A
=
(
5
x
−
29
)
∘
m∠A=(5x−29)
∘
and
m
∠
B
=
(
2
x
+
13
)
∘
m∠B=(2x+13)
∘
, then find the measure of
∠
A
∠A.

Answer 1

131°

Explanation:

Supplementary angles add up to 180°.

We can write the following equation based on above mentioned information to first find the value of x then measure of ∠A:

3x - 28 + x - 4 = 180

• Add like terms.

4x - 32 = 180

• Add 32 to both sides.

4x = 212

• Divide both sides by 4.

x = 53

To find m∠A, replace x with the value we just found.

3×53 - 28 = 131°