If a circle is formed by two secants from an external point and the intercepted arcs measure 100° and 60°, what is the measure of the exterior angle?

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Multiple Choice

If a circle is formed by two secants from an external point and the intercepted arcs measure 100° and 60°, what is the measure of the exterior angle?

An exterior angle formed by two secants from a point outside the circle equals half the difference of the measures of the intercepted arcs. Here, the intercepted arcs are 100° and 60°, so their difference is 40°. Half of that is 20°. Therefore, the exterior angle measures 20°.

An exterior angle formed by two secants from a point outside the circle equals half the difference of the measures of the intercepted arcs. Here, the intercepted arcs are 100° and 60°, so their difference is 40°. Half of that is 20°. Therefore, the exterior angle measures 20°.

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