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°.