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please helppp!!!

Angle Y is inscribed in the circle below. The measure of arc XZ is 205°.
What is the measure of angle Y?

Please Helppp Angle Y Is Inscribed In The Circle Below The Measure Of Arc XZ Is 205 What Is The Measure Of Angle Y class=

Sagot :

Abidemiokinidn

The measure of the angle Y from the given diagram is 102.5 degrees

Circle theorem

In order to determine the unknown angle, we will use the theorem "angle at the vertex is half the angle at its intercepted arc".

Given the following

angle at the arc= 205 degrees

required

angle at the vertex Y

According to the theorem;

<Y = 1/2arcXZ
<Y = 1/2(205)
<Y = 102.5 degrees

Hence the measure of the angle Y from the given diagram is 102.5 degrees

Learn more on circle theorem here: https://brainly.com/question/6240879

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