Answer:
D) 72°
Step-by-step explanation:
Tangent:
[tex]\sf \boxed{\angle PQR =\dfrac{Difference \ between \ major \ arc \ and \ minor \ arc }{2}}[/tex]
∠PQR = 2x + 252 - (2x + 108)
2x +72 = (2x + 252 - 2x - 108) ÷ 2
2x + 72 = (2x - 2x + 252 - 108) ÷ 2
2x + 72 = 144 ÷ 2
2x + 72 = 72
2x + 72-72 = 72 - 72
2x = 0
[tex]\sf \boxed{\bf x = 0}[/tex]
m∠PQR = 2x + 72
= 2*0 + 72
= 72°
