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| Math Central | Quandaries & Queries |
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Question from Robert, a student: The second angle of a triangle is twice the sizee of the first angle, the third angle is 48 degrees less than the sum of the other two angles. What are the measurements of all 3 angles? |
Robert,
The total of all three angles in any triangle adds to 180 degrees.
Let A = the first angle's size.
then the second angle is 2A and the third angle is (2A + A) - 48.
So you can add these up to get 180.
A + (2A) + [(2A + A) - 48] = 180.
Solve for A. Use that to find the other two angles.
Hope this helps,
Stephen La Rocque.
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