Question

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

Answer 1

check the picture below.

Answer 2

The correct option is A.

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}=(1)/(2)(\text{Major arc - Minor arc})`

Using this property we get

`45^(\circ)=(1)/(2)(Arc(TR)-Arc(WX))`

`45^(\circ)=(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.