Circle Y is shown. 2 chords intersect. Angle 1 intercepts an arc with measure 37 degrees. Angle 2 intercepts an arc with measure 25 degrees. In circle Y, what is m∠1? 6° 25° 31° 37°

31

Step-by-step explanation:

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The question is incomplete. It can be found in search engines. However, kindly find the solution below:

Let us first define what an intersecting coed is:

The intersecting chords theorem says that if two chords intersect inside a circle, then the measure of the angle produced is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

First of all we will add the 2 angles

37° + 25° = 62°

The answer for that would be 62.

Now referring back to the theorem of intersecting cords that if two chords intersect inside a circle, then the measure of the angle produced is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Then, moving forward,

we will take half of that which is 62/2

It would give us 31

So angle 1 would be equal to 31

Hence,

m<1 = 1/2 x (37+25)

m<1 = 31°

So the answer for this question is 31°