One angle is equal to three times its supplement. The measure of the larger angle is ____ °.

One angle is equal to three times its supplement. The measure of the larger angle is ____ °.


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    Solution:

    One angle is equal to three times its supplement. The measure of the larger angle is 135 °.
    Given one angle is equal to three times its supplement.
    Assume one angle = x.
    And, other angle = 3x.
    The equation is,
    x + 3x = 180
    Evaluating,
    ⇒4x= 180 ° ⇒x= 180 ° 4 ⇒x= 45 °   The angle is,
    ⇒3x=3( 45 ° ) ⇒3x= 135 °  
    Hence, the measure of larger angle is 135 ∘  .
     

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