In the figure, AB is a diameter of circle P. What is the arc measure of AD in degrees?

Mathematics

1 answer:

fiasKO [112]3 years ago

8 0

The arc measure of AD in degrees is 43 degrees.

<u>Step-by-step explanation</u>:

The angle measure of the straight line is 180°.
∠APD + ∠DPC + ∠CPB = 180°

⇒ (7x+1)° + 90° + (9x-7)° = 180°

⇒ 16x + 84° = 180°

⇒ 16x = 96°

⇒ x = 96/16

x = 6

Substitute x=6 for angle ∠APD = (7x+1)°

∠APD = 7(6)+1 = 43°

The arc measure of AD in degrees = 43 degrees.

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