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.

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)   (Show Source): You can put this solution on YOUR website!
An angle + its complement = 90 degs.
Answer by ikleyn(52908)   (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 = = 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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Free of charge online textbook in GEOMETRY
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