Answer:
m Arc AD = 43°
Explanation:
The question is missing a diagram. Find attached the diagram of the question.
Given:
AB is a diameter of circle P
Solution:
From the diagram,
∠ADP = 7x+1
∠BPC = 9x-7
∠CPD = 90° (the symbol of right angle is drawn)
∠m Arc APB = 180° (sum of angles on a straight line or sum of angle in a semi circle)
∠APD + ∠CPD + ∠BPC = 180°
(7x+1)° + 90° + (9x-7)° = 180°
7x+1 + 90 + 9x-7 = 180
Collect like terms
7x+9x = 180 - 90 + 7 -1
16x = 96
x = 96/16
x = 6
Insert the value color x in ∠APD
∠APD = 7(6) + 1
∠APD = 43°
m Arc AD = ∠ APD
m Arc AD = 43°
Therefore arc measure of AD in degrees = 43°