If the measure of a tangent chord angle is 68 degrees what is the measure of the intercepted arc inside the angle

136 degrees

Step-by-step explanation:

From the above question, we are told that:

The measure of a tangent chord angle = 68 degrees

From circle theorems, we know that:

The measure of an angle formed by a tangent and chord(Tangent-chord angles ) is equal to half the measure of the intercepted arc.

Hence,

68° = 1/2 (measure of the intercepted arc.)

Let the Measure of the intercepted arc = x

68° = 1/2x

Divide both sides by 1/2

Measure of the Intercepted arc(x) = 68° ÷ 1/2

Measure of the Intercepted arc = 68° × 2

Measure of the Intercepted are = 136°

Therefore, the measure of the intercepted arc inside the angle is 136°

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