Question

I need help with this really bad because I don't know what I'm doing when it comes to math. Please help. Much appreciated

Answer 1

measure of angle RQS=137 degrees, measure of angle SQR=43 degrees

Explanation:

(6x+20)+(2x+4)=180

8x+24=180

8x+156

x=19.5

substitute it!

6(19.5)+20=137

2(19.5)+4=43

Hope this helps!!!!!!!!

Answer 2

the angles are supplementary, meaning the add up to equal 180°. the straight "angle" RQT is a straight line.

TQS + RQS = 180

(6x + 20) + (2x + 4) = 180
combine the like terms
8x + 24 = 180
get x by itself, -24 both sides
8x = 180 - 24
8x = 156
x = 156/8
x = 19.5

now use x to find the degrees for each angle

TQS = 6(19.5) + 20
= 117 + 20
= 137°

RQS = 2(19.5) + 4
= 39 + 4
= 43°