Question

Calculate the value of x in the illustration below.

Answer 1

Exact answer: x = 35/3 (fraction form)

Approximate answer:  x = 11.667  (decimal form)

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Explanation:

The inscribed angle AHP is exactly half that of the arc it cuts off, which is arc AP = 160.

inscribed angle = (1/2)*(arc measure)

angle AHP = (1/2)*(arc AP)

6x+10 = (1/2)*160

6x+10 = 80

6x = 80-10

6x = 70

x = 70/6

x = 35/3

x = 11.667 approximately