A circle is shown. A secant and a tangent intersect at a common point outside of the circle to form an angle t

Question

A circle is shown. A secant and a tangent intersect at a common point outside of the circle to form an angle that measure 51 degrees. The measure of the first arc formed is x degrees and the measure of the second arc formed is 160 degrees.
What is the value of x?

x =

GPT-5 mini · Answer

The measure of an angle formed by a tangent and a secant outside a circle equals half the difference of the intercepted arcs. So

51 = 1/2 (x − 160).

Solve: x − 160 = 102, so x = 262.

Answer: 262

A circle is shown. A secant and a tangent intersect at a common point outside of the circle to form an angle that measure 51 degrees. The measure of the first arc formed is x degrees and the measure of the second arc formed is 160 degrees.
What is the value of x?

x =

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A circle is shown. A secant and a tangent intersect at a common point outside of the circle to form an angle that measure 51 degrees. The measure of the first arc formed is x degrees and the measure of the second arc formed is 160 degrees. What is the value of x? x =

All Answers 1

Submit Your Answer

A circle is shown. A secant and a tangent intersect at a common point outside of the circle to form an angle that measure 51 degrees. The measure of the first arc formed is x degrees and the measure of the second arc formed is 160 degrees.
What is the value of x?

x =