Question

Angles related to a circle. Solve for x.

Answer 1

The value of x from the given circle is 12

Circle theorem

Angle at the vertex of the circle is half the angle at its intercepted arc.

From the given circle;

The measure of <DEF = 80/2 = 4x -8

Equate both angles

4x - 8 = 80/2

Add 8 to both sides

4x - 8 + 8 = 40 + 8

4x = 48

x =12

Hence the value of x from the given circle is 12

Learn more on circle theorem here: brainly.com/question/26594685

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