PLZ HELP!!! WILL GIVE BRAINLIEST ANSWER!This figure shows circle O with inscribed ∠XYZ .m∠XYZ=76∘What is the measure of XYZ?Enter your answer in the box.
Accepted Solution
A:
Answer: 208°.
Explanation: To find the measurement of arc XYZ, we must first find the measurement of the minor arc XZ and subtract that from the whole circle (360°).
We are given angle XYZ which is the information we need to find arc XZ. Arc XZ is twice the size of angle XYZ because it is an inscribed angle. This means that: XZ=2XYZ.
Substitute the angle measurement. XZ=2(76)=152°.
Subtract 152 from 360 to get the measurement of arc XYZ. 360-152= 208°