Question

Find m∠PQR. A. 90 B. 77 C. 81 D. 72

Answer 1

Answer:

D) 72°

Step-by-step explanation:

Tangent:

 

$\sf \boxed{\angle PQR =\dfrac{Difference \ between \ major \ arc \ and \ minor \ arc }{2}}$

       ∠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°