SOLUTION: Find the measure of the linear pair (5x-18)° (4x+45)°

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Question 1206435: Find the measure of the linear pair
(5x-18)° (4x+45)°
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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Find the measure of the linear pair
(5x-18)° (4x+45)°
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        A linear pair of angles are always adjacent angles.
        A linear pair of angles always form a straight line.
        They together form a straight angle.
        Two angles forming a linear pair have a common vertex and a common arm.
        Their non-common sides are opposite rays that form a line. 


In particular, a linear pair of angles are two supplementary angles, that sum up to 180°.


So, write this equation

    (5x-18) + (4x+45) = 180

and solve it for x

    5x + 4x = 180 + 18 - 45

       9x   =      153

        x   =      153/9 = 17.


So, the angles are  5*17-18 = 67 degrees and  4*17+45 = 113 degrees.    ANSWER

Solved.

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To learn more about supplementary angles,  read the lessons
    - Angles basics
    - Vertical angles
    - HOW TO solve problems on supplementary, complementary or vertical angles - Examples
    - Solved problems on supplementary and complementary angles
in this site.

You will find there many similar problems, solved with complete explanations.

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