Question

Which expression gives the measures of XYZ in the diagram below?

Answer 1

Answer:b

Explanation:

You're answer is b. All you have to do is a measurement

Answer 2

B) 1/2 (154° - 46°)

Explanation:

Here ∠XYZ is an angle subtended by two chords from a point outside of the circle.

It is a one of the circle.

If the angle subtended by two chords from the outside point of the circle, the measure of the angle is 1/2 times difference of the major arc and minor arc.

Here Major arc = 154° and minor arc = 46°

Applying the rule, we get

m∠XYZ =
`(1)/(2) (Major arc - Minor arc)`

m∠XYZ = 1/2 (154° - 46°)