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what is the answer to the question in this photo

What Is The Answer To The Question In This Photo class=

Sagot :

Answer:

B. 34°

Step-by-step explanation:

In the figure we have two secants which intersect the circle at points W and Y , V and Z

The two arcs formed are [tex]\overline {VZ} = 93^\circ \\[/tex] and [tex]\overline {WY} = 25^\circ[/tex]

We will use the following theorem to determine m ∠VXZ

Theorem

  • The angle formed by the two secants which intersect outside the circle is half the difference of the intercepted arcs.

Therefore
[tex]m\angle VXZ = \dfrac{1}{2}(93-25)^\circ\\\\= \dfrac{1}{2}(68)^\circ\\\\= 34^\circ[/tex]

Answer
B. 34°