i need help with geometry

9514 1404 393
Answer:
C. 26
Step-by-step explanation:
The two marked angles are "vertical angles." They are congruent.
x +20 = 3x +8 . . . . . congruent angles have the same measure
12 = 2x . . . . . . . . . subtract x+8 from both sides
6 = x . . . . . . . . . divide by 2
∠PTQ = (x+20)° = (6+20)° = 26°
Answer:
Solutions given:
we have
<RTS=PTQ[vertically opposite angle are equal]
so
3x+8=x+20°
3x-x=20-8
2x=12
x=12/2=6
x=6
m<PTQ=6+20=26°
option c.26.