201k views
4 votes
∠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.

∠A and ∠ B ∠B are supplementary angles. If m ∠ A = ( 5 x − 29 ) ∘ m∠A=(5x−29) ∘ and-example-1

1 Answer

6 votes

Answer:

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°

User YuriW
by
7.2k points