Question

Find the value of x if m arc ADC = (4x + 4)° and m angle ABC = 150°.

Answer 1

The measure of angle x is 74°

Explanation:

we know that

The inscribed angle measures half of the arc that comprises

so

∠ABC=(1/2)[arc ADC]

substitute the given values

150°=(1/2)[4x+4]

300°=[4x+4]

4x=300-4

4x=296

x=74°