A conjecture and the two-column proof used to prove the conjecture are shown.
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Answer:
<h2>The measure of angle EYH is 25°.</h2>Step-by-step explanation:
Notice that ray EY is a tangent and ray VY is a secant.
In this case, we use the theorem that states <em>"the angle formed by a tangent and a secant is half of the difference of the intercepted arcs".</em>
In this case, the intercepted arcs are EH and EV. We know that a whole arc is 360°, so
Using the theorem, we have
Therefore, the measure of angle EYH is 25°.