Question

Which experience gives the measure of XYZ

Answer 1

Answer: The correct answer is option B

Step-by-step explanation:

Answer 2

Answer: B. $\dfrac{1}{2}(94^{\circ}+46^{\circ})$

Step-by-step explanation:

• Angles of intersecting chords theorem : It says that if in a circle two chords intersect, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

In the given circle , VZ and XW are two chords intersecting each other at Y.

Then by Angles of intersecting chords theorem , we have

$\angle{XYZ}=\dfrac{1}{2}[\overarc{XZ}+\overarc{VW}]\\\\\Rightarrow\ \angle{XYZ}=\dfrac{1}{2}[94^{\circ}+46^{\circ}]$

Hence, the expression gives the measure of $\angle{XYZ}=\dfrac{1}{2}(94^{\circ}+46^{\circ})$

Thus , B. is the correct answer.