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3 years ago

Pls help me both questions with explanation sum

Mathematics

1 answer:

emmainna [20.7K]3 years ago

6 0

9514 1404 393

Answer:

3) x = 55, y = 123, z = 123

4) x = 276°

Step-by-step explanation:

Angles P and Q are alternate interior angles, so are congruent.

P = Q

3x -42° = 2x +13°

x = 55° . . . . . . . . . . . add 42°-2x

Then Q = 2x +13 = 2(55°) +13° = 123°.

Angles Y, P, Q, and Z are all congruent, so all have the same measure.

Y = Z = 123°

If you draw a horizontal line parallel to AB and CD through point O, then small angle POQ is divided into parts that are congruent with angles APO and CQO. That is, small angle POQ = 48° +36° = 84°.

Large angle POQ is then 360° -84° = 276°

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