Question

find the value of x
pls explain step-by-step frnds ​

Answer 1

Answer:

x = 10°

Step-by-step explanation:

∠ QPR = 1/2 x ∠QOR -----------> Inscribed angle is half of the central angle

∠ QPR = 1/2 x 80

                   = 40°

If we join OP, ΔOPR is isosceles as OP = OR = radius

So, ∠OPR = 30°

So, ∠OPQ = ∠QPR - ∠ OPR

                 = 40 - 30

                 = 10°

∠OQR = ∠OPR

           = 10°

∴ x = 10°

Hope this helps! :)