The value of the x is 3 and the measure of the arc is 154 degree if the angle APE is 90 degree.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have a circle shown in the picture.
The angle APE = 90 degree (from the figure)
25x + 15 = 90
25x = 75
x = 3
The measure of arc CDE = (20x + 4) + (33x - 9) = 53x -5
= 53(3) -5
= 154 degree
Thus, the value of the x is 3 and the measure of the arc is 154 degree if the angle APE is 90 degree.
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