A circle diagram is shown below. ∠ACB is a central angle.AnWith an angle of 70°, The unlabeled angle is an inscribed angle subtended by AB. What is the measurement of the unlabeled angle? Explain your thinking

1 answer

In a circle, an inscribed angle is formed by two chords or a chord and a tangent line that intercept the same arc on the circle. The measure of an inscribed angle is half the measure of the central angle that intercepts the same arc.

In this case, ∠ACB is the central angle with a measure of 70°. Since the unlabeled angle is an inscribed angle subtended by the same arc as ∠ACB, its measure would be half of the central angle, which is 35°.

Therefore, the measurement of the unlabeled angle is 35°.