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alexandr1967 [171]
3 years ago
8

In the diagram below, XY and YZ are tangent to O which expression gives the measure of XYZ?

Mathematics
2 answers:
icang [17]3 years ago
8 0

The solution of this question will make use of the Two Tangents from Point Theorem which states that "the measure of an angle formed by two tangents drawn from a point outside the circle is half the the difference of the intercepted arcs".


We can also see that the measure of arcs are: \overarc{XWZ}=245^{\circ} and\overarc{XZ}=115^{\circ}

Thus, as per the theorem, the measure of the \angle XYZ can be calculated as:

m\angle XYZ=\frac{1}{2}(\overarc{XWZ}- \overarc{XZ})

Therefore, we get:

m\angle XYZ=\frac{1}{2}(245^{\circ} -115^{\circ})

Thus, out of the given options, option B is the correct option.

zvonat [6]3 years ago
5 0
The answer is for sure b.
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