Answer:
<QRS = 123
x = 16
Explanation:
Solution
Upper Diagram
QRS is just the addition of the two acute angles making it up
<QRT = 40
<SRT = 83
<QRS = 123
Lower diagram
Comment
You have to assume that both angles are sitting on a straight line.
If that is so, the <YMA + <CMA = 180 degrees because a straight line has 180 degrees making it up.
Givens
<YMA = 5x + 19
<CMA = 5x + 1
Solution
YMA + CMA = 180 degrees Substitute the givens in this equation
5x + 19 + 1 + 5x + 1 = 180 Combine the left side
10x + 20 = 180 Subtract 20 from both sides
10x +20-20 = 180 - 20 Combine both sides
10x = 160 Divide by 10
10x/10 = 160/10
x = 16