Answer:
136 degrees
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°