In the diagram below xy and yz are tangent to 0 which equation could be solved to find x the measure of XZ
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<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:
The answer is the option B
[tex]\frac{1}{2}(247\°-x\°)=67\°[/tex]
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it comprises.
so
[tex]m<y=\frac{1}{2}(arc\ XWZ-arc\ XZ)[/tex]
we have that
[tex]m<y=67\°[/tex]
[tex]arc\ XZ=x\°[/tex]
[tex]arc\ XWZ=247\°[/tex]
substitute the values
[tex]67\°=\frac{1}{2}(247\°-x\°)[/tex]