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Determine the values of x and y for the parallelogram?

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  • 2 months ago
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    Rules:

    Opposite angles in a parallelogram are congruent (have equal measure)

    Adjacent angles in a parallelogram are supplementary (add to 180°)

    Let's start with the adjacent angles on the left:

    3x + 15 + 3x - 15 = 180

    6x = 180

    x = 180/6

    x = 30

    Now use the opposite angles:

    3x - 15 = y + 30

    3(30) - 15 = y + 30

    90 - 15 = y + 30

    75 = y + 30

    y = 75 - 30

    y = 45

    Answer:

    x = 30, y = 45

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  • 2 months ago

    Consecutive angles are supplementary in a parallelogram, so you know

    3x + 15 + 3x - 15 = 180

    6x = 180

    x = 30

    And then the top 2 angles: 3x + 15 + y + 30 = 180

    3x would be 90 so 90 + 15 + y + 30 = 180; solve for y

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