Question

In the figure below, \overline{AB}

AB
start overline, A, B, end overline is a diameter of circle PPP.

Answer 1

317°

Explanation:

The missing question is: What is the arc measure of ACD ?

In the figure attached, circle P is shown.

Segment AB divides the circle into two halves. Then,

arc AD + arc DC + arc CB = 180°

From the picture, arc DC = 90°, therefore:

arc AD + arc CB = 90°

(7x + 1) + (9x - 7) = 90

16x - 6 = 90

16x = 90 + 6

x = 96/16

x = 6°

From the picture,

arc ACD + arc AD = 360°

arc ACD = 360 - (7x+1)

arc ACD = 360 - 7(6) - 1

arc ACD = 317°