Math CentralQuandaries & Queries


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?
PS: please help


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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