Question

Please Guys Give me a correct answer and i will give you 50 points.
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Answer 1

Answer:

measure of angle ADC = 1/2 ANGLE AOC (INSCRIBED ANGLE THEOREM)

MEASURE IF ANGKE AOC = 30 + 6O = 90

HENCE

MEASURE OF ANGLE ADC = 1/2*90

= 45 deg

Answer 2

Total ∠AOC = ∠AOB + ∠BOC = 60° + 30° = 90°

Now, we know that the angle subtended by an arc of a circle at its center is twice of the angle it subtends anywhere on the circle's circumference.

So, we can say that 2∠ADC = ∠AOC

As we know that ∠AOC = 90°

∠ADC = ∠AOC/2 = 90/2

∠ADC = 45°