Question

In the diagram below xy and yz are tangent to 0 which equation could be solved to find x the measure of XZ

Answer 1

<y = 1/2(247 - x)

67 = 1/2(247 - x)

or

1/2(247 - x) = 67

Answer is B.

1/2(247 - x) = 67

Answer 2

The answer is the option B

`(1)/(2)(247\°-x\°)=67\°`

Explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it comprises.

so

`m<y=(1)/(2)(arc\ XWZ-arc\ XZ)`

we have that

`m<y=67\°`

`arc\ XZ=x\°`

`arc\ XWZ=247\°`

substitute the values

`67\°=(1)/(2)(247\°-x\°)`