Answer:
Correct option: ninth one.
m∠CQD = 22°
m∠EQF = 33°
Step-by-step explanation:
as the segment BQG is a straight line, its angle is 180 degrees, so the sum of all those 5 angles is equal to 180 degrees. So, we have that:
m∠FQG + m∠EQF + m∠DQE + m∠CQD + m∠BQC = 180°
12 + 3x + 103 + 2x + 10 = 180
5x + 125 = 180
5x = 55
x = 11°
Then, we have that:
m∠CQD = 2x = 22°
m∠EQF = 3x = 33°
You can set up an equation to figure this out.
-152+x=12
Add 152 to both sides and you get:
x=164
Answer:
Step-by-step explanation:
We use the fact that 
to rewrite the expression and simplify :
