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25 November, 00:47

The angle Johnny holds his pen on paper creates a linear pair. The measure of one angle is 13x + 7. The

measure of the second angle is one less than twice the first angle. Find the value of x.

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  1. 25 November, 01:12
    0
    The value of x is 4.10

    Solution:

    Given that,

    The angle Johnny holds his pen on paper creates a linear pair

    Angles in a linear pair are supplementary angles

    Two angles are supplementary, when they add up to 180 degrees

    The measure of one angle is 13x + 7

    The measure of the second angle is one less than twice the first angle

    Therefore,

    Measure of second angle = twice the first angle - 1

    Measure of second angle = 2 (13x + 7) - 1

    Measure of second angle = 26x + 14 - 1

    Measure of second angle = 26x + 13

    Therefore,

    Measure of first angle + measure of second angle = 180

    13x + 7 + 26x + 13 = 180

    39x + 20 = 180

    39x = 180 - 20

    39x = 160

    x = 4.1

    Thus value of x is 4.10
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