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Which equation can be solved to find x, the measure of XZ in the diagram below

Answers in pic

BRAINLIEST ANSWER TO FIRST ANSWERER Which equation can be solved to find x the measure of XZ in the diagram below Answers in pic class=

Respuesta :

Answer:

Option C

Step-by-step explanation:


Answer:

Option C [tex]\frac{1}{2}(185\°-x\°)=76\°[/tex]

Step-by-step explanation:

we know that

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

so

[tex]76\°=\frac{1}{2}(arc\ ST-arc\ XZ)[/tex]

we have

[tex]arc\ ST=185\°[/tex]

[tex]arc\ XZ=x\°[/tex]

substitute

[tex]76\°=\frac{1}{2}(185\°-x\°)[/tex]

Rewrite

[tex]\frac{1}{2}(185\°-x\°)=76\°[/tex]


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