Question

Find the value of y. It’s geometry hw! plz only answer if you know how to do this. thank you

Answer 1

48

Explanation:

Imagine that all of the other angles within the circle are gone except for the angle "y".

Now kindly look at the image.

We would be left with angle y as the inscribed angle and 96° for the measure of the intercepted arc.

The relationship between intercepted arcs and inscribed angles is that the inscribed angle is equal to half the measure of the intercepted arc.

So y is equal to half of the measure of its intercepted arc. ( Which in this case has a measure of 96° )

so y =
`(96)/(2)`

96/2=48

Hence the value of y is 48