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Consider parallelogram EFGH below.
Use the information given in the figure to find x, m

Consider parallelogram EFGH below. Use the information given in the figure to find-example-1

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To find x, set up an equation using the opposite sides of the parallelogram. Use the fact that opposite angles of a parallelogram are equal to find the measures of m∠IEH and m∠IHE. Therefore, m∠IEH = 40 degrees and m∠IHE = 61 degrees. Solving the equation, we find x = 3.

To find x, we can set up an equation using the fact that the opposite sides of a parallelogram are equal. Since line EI is opposite to line IG, we have:

5x - 3 = 12

Adding 3 on both sides we get:

5x+3-3=12+3

5x=15

x=15/3

x=3

Solving this equation, we find x = 3.

To find m∠IEH and m∠IHE, we can use the fact that the opposite angles of a parallelogram are equal. From the given information, we know that m∠IFH = 40 degrees, and m∠IGH = 61 degrees.

Therefore, m∠IEH = 40 degrees and m∠IHE = 61 degrees.

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