SOLUTION: The measure of the supplement of an angle is 30 more than twice the measure of the angle. Find the measures of the angles.

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Question 1122346: The measure of the supplement of an angle is 30 more than twice the measure of the angle. Find the measures of the angles.
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
An angle + its complement = 90 degs.

Answer by ikleyn(52905) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = the degree measure of the given angle.


Then the measure of its supplements is 2x+30 degrees, according to the condition.


The angle and its supplement sum up to 180 degrees, which gives you an equation


    x + (2x+30) = 180.


    3x = 180 - 30 = 150  ====>  x = 150%2F3 = 50 degrees.


Answer.  The angle has the measure of 50 degrees.

         The supplement angle is 180 - 50 = 130 degrees.


Check.  2*50 + 30 = 130 degrees.    ! The solution is CORRECT !

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On Angles Basics, Supplementary and Complementary angles see the lessons
    - Angles basics
    - Vertical angles
    - HOW TO solve problems on supplementary, complementary or vertical angles - Examples
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    GEOMETRY - YOUR ONLINE TEXTBOOK
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The referred lesson is the part of this online textbook under the topic
"Basics of angles. Supplementary, complementary angles. Vertical angles. Parallel lines".

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