Question

Can you please help with this? Thanks!

A
∠A and
∠
B
∠B are supplementary angles. If
m
∠
A
=
(
x
+
4
)
∘
m∠A=(x+4)
∘
and
m
∠
B
=
(
2
x
−
7
)
∘
m∠B=(2x−7)
∘
, then find the measure of
∠
A
∠A.

Answer 1

supplementary means that the two angles must add up to 180 degrees.

that means we should set up the equation like this:

(x+4)+(2x-7)=180

solve by adding like terms

3x-3=180

add

3x=183

divide

x=61

we can check this answer by plugging the number back in.

(61+4)+(2(61)-7)=180

(65)+(115)=180

therefore angle A would equal 65 degrees.

Answer 2

Explanation:

so its 23 cause .