Answer:
x=24
y=10
z=17
Step-by-step explanation:
These triangles are congruent, which means that the corresponding angles are equal to each other.
Let's start with <em>x</em>. Angle H corresponds to angle N, so we set them equal to each other and slove.
x=24
Next, let's look at z. Angle C corresponds to angle P, so again we set them equal. Z=17.
Finally, we must find y. F and S correspond, but we don't know what the measure of angle S is, but we do know that the interior angles of a triangle add up to 180 degrees, so we solve for angle S and get 115°.
180-(36+115)=29
We now know that angle F equals 29. From solving, we know that Y=10.
<u>Hope this helps :-)</u>
<u>Work is shown (attached)</u>
<u />
