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Please help! With explanation! EASY FOR MOST

Please help! With explanation! EASY FOR MOST-example-1

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9514 1404 393

Answer:

(x, y, z) = (124, 112, 42)

Explanation:

Opposite angles in an inscribed quadrilateral are supplementary, so ...

y° = 180° -68° = 112°

The angle marked 71° subtends an arc twice that measure, so ...

2(71°) = 100° +z°

z° = 142° -100° = 42°

The angle marked y° subtends an arc twice that measure, so ...

2y° = 100° +x°

x° = 2(112°) -100° = 124°

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