
Concept explainers
Explain how to find the measure of an

Answer to Problem 36HP
The measure of an angle formed by a secant and a tangent that intersect outside a circle is the half of the difference of the measure of the major arc and the measure of the minor arc.
Explanation of Solution
Formula Used:
Theorem 10.14: If two secants , a secant and a tangent , or two tangents intersect in the exterior of a circle, then the measure of the angle formed is on half the difference of the measures of the intercepted arcs.
Calculation:
From theorem 10.14,
The measure of an angle formed by a secant and a tangent that intersect outside a circle is the half of the difference of the measure of the major arc and the measure of the minor arc.
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Geometry, Student Edition
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