Question

The following is a parallelogram solve for the variables

Answer 1

Answer:

x = 13, y = 26, z = 5

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

2x + 110 + 44 = 180

2x + 154 = 180 ( subtract 154 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

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2x and y are alternate angles and congruent , so

y = 2x = 2(13) = 26

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The opposite sides of a parallelogram are equal

3z - 1 = 14 ( add 1 to both sides )

3z = 15 ( divide both sides by 3 )

z = 5