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M AC = 158°
m CH = ?
mXX = 68°

M AC = 158° m CH = ? mXX = 68°-example-1
User Dkam
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1 Answer

4 votes

Answer:

mCH = 22°

Explanation:

Since a secant and tangent intersect on the outside of a circle, the measure the angle formed by them or x would be 1/2 the difference of the larger and smaller arcs intercepted. The larger arc would be AC, while the smaller would be CH. We can model the situation using an equation:

m<X = 1/2(mAC - mCH)

And we can substitute:

68 = 1/2(158 - mCH)

136 = 158 - mCH

mCH = 22°