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your turn 1. solve for x in the parallelogram below. 2. solve for x in …

Question

your turn

  1. solve for x in the parallelogram below.
  1. solve for x in the parallelogram below.

pqrs is a parallelogram. find each measure.

  1. qr

Explanation:

Equate opposite sides of the parallelogram

Using the Parallelogram Theorems knowledge point

$$ LATEXBLOCK0 $$

Solve the linear equation for x

Using the Solving Linear Equations knowledge point

$$ LATEXBLOCK1 $$

Relate consecutive interior angles

Using the Parallelogram Theorems knowledge point

$$ LATEXBLOCK2 $$

Solve the linear equation for x

Using the Solving Linear Equations knowledge point

$$ LATEXBLOCK3 $$

Equate opposite sides to find z and calculate QR

Using the Parallelogram Theorems and Solving Linear Equations knowledge points

$$ LATEXBLOCK4 $$

Answer:

Question 1

\(x = 3\)

Question 2

\(x = \frac{104}{17}\)

Question 3

\(QR = 20\)