Question

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Answer 1

Answer:

x = 70°

Step-by-step explanation:

∠ACB is an inscribed angle and arc AB is the intercepted arc

measure of intercepted arc is 2 x inscribed angle

Therefore measure of arc AB is 2 x 60 = 120°

But arc AB is also intercepted by ∠ADB

Therefore ∠ADB = 1/2 x arc AB

∠ADB = 1/2 x 120 = 60°

In triangle ADB

∠A + ∠B + ∠D = 180°

X + 50 + 60 = 180

X = 180 - 110

X = 70°

Hope this will help.