The external angle (53°) is half the difference of the intercepted arcs (y°, 180°), so we have
53 = (180 - y)/2
106 = 180 - y
y = 180 - 106
y = 74

The appropriate choice for the value of y is ...
74

4 0

3 years ago

Geometry question please help will give Brainlyest! I need the x, y, and z please.

kozerog [31]

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 x. 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.

Hope this helps :-)

Work is shown (attached)