Parallelograms don’t know how to solve and teacher won’t show me need help

9514 1404 393

Step-by-step explanation:

The marked angles are all "interior" -- between the parallel lines. Ones on the same side of the transversal (t) are called "same-side" or "consecutive" interior angles. Angles 1 and 4, 2 and 3 are pairs of consecutive interior angles.

Angles on opposite sides of the transversal are called "alternate" interior angles. Pairs 1 and 3, and 2 and 4 are pairs of alternate interior angles.

Alternate interior angles are congruent. Consecutive interior angles are supplementary (as are the angles of any linear pair).

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1) Angles ∠1 and ∠3 are congruent.

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2) Using the above fact, we can set the expressions for the angle measures equal to solve for x.

  5x -2 = 2x +55

  5x = 2x +57 . . . . . add 2

  3x = 57 . . . . . . . . . subtract 2x

  x = 19 . . . . . . . . . . divide by 3

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3) Angle 1 is ...

  ∠1 = 5x -2 = 5(19) -2 = 93

Angle 4 is its supplement.

  ∠4 = 180 -∠1 = 180 -93

  ∠4 = 87 . . . degrees

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

(23*2)-12=x     x=34

step-by-step explanation: