Question

What is the Measure Of arc WX in the diagram below?

Answer 1

Check the picture below.

Answer 2

Answer:

The correct option is A.

Step-by-step explanation:

Given information: Length of Arc TR is 116° and the measure of ∠WSX is 45°.

According to the angle of Intersecting Secants Theorem,

$\text{Angle of Intersecting Secants}=\frac{1}{2}(\text{Major arc - Minor arc})$

Using this property we get

$45^{\circ}=\frac{1}{2}(Arc(TR)-Arc(WX))$

$45^{\circ}=\frac{1}{2}(116^{\circ}-Arc(WX))$

Multiply 2 on both the sides.

$90^{\circ}=116^{\circ}-Arc(WX)$

$Arc(WX)=116^{\circ}-90^{\circ}$

$Arc(WX)=26^{\circ}$

The measure of arc WX is 26°. Therefore the correct option is A.