Question

Find m∠PQR.
A. 90
B. 77
C. 81
D. 72

Answer 1

D) 72°

Explanation:

Tangent:

`\sf \boxed{\angle PQR =(Difference \ between \ major \ arc \ and \ minor \ arc )/(2)}`

∠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

`\sf \boxed{\bf x = 0}`

m∠PQR = 2x + 72

= 2*0 + 72

= 72°