The angles of a quadrilateral are x, 2x,(x – 10), (x + 25 ). Find the measure of largest angle. *​

Question

The angles of a quadrilateral are x, 2x,(x – 10), (x + 25 ). Find
the measure of largest angle. *​

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Genesis 1 month 2021-08-21T23:38:03+00:00 1 Answer 0 views 0

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    2021-08-21T23:39:39+00:00

    Answer:

    The measure of the largest angle is 136.

    Step-by-step explanation:

    sum of the angles in a quadrilateral = 360

    x + ( x – 10 ) + ( x + 30 ) + 2x = 360

    x + x + x + 2x -10 +30 = 360

    5x + 20 = 360  

    5x = 360 – 20

    5x = 340

    x = 340 / 5

    x = 68

    first angle = x = 68°

    second angle = x – 10 = 68 – 10 = 58°

    third angle = x + 30 = 68 + 30 = 98°

    fourth angle = 2x = 2 × 68 = 136°

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