Pls help me both questions
with explanation sum

9514 1404 393

  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°

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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°

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x