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14 October, 06:22

The sum of the interior angles of a quadrilateral is 180 degrees. Angle a is n degrees, the measure of angle b is four times angle a, and angle c is 75 degrees. Write an equation to determine the value of n.

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  1. 14 October, 06:45
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    Answer: the equation to determine the value of n is 5n = 105

    Step-by-step explanation:

    The measure of angle a is n degrees. The measure of angle b is four times angle a. This means that the measure of angle b would be

    b = 4n

    The measure of angle c is 75 degrees. Since the sum of the interior angles of a quadrilateral is 180 degrees, then the equation to determine the value of n would be

    a + b + c = 180

    Therefore,

    n + 4n + 75 = 180

    5n = 180 - 75

    5n = 105

    n = 105/5

    n = 21
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