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daser333 [38]
2 years ago
9

Find m∠PQR. A. 90 B. 77 C. 81 D. 72

Mathematics
1 answer:
Fofino [41]2 years ago
7 0

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°

   

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