Question

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

Answer 1

The arc measure of AD in degrees is 43 degrees.

Step-by-step explanation:

• 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.