The measures of the angles of a triangle can be represented by the expressions (2x) , (3x - 20) , and (3x) . What are the measures of the three angles?
A. 20, 30, 130
B. 36, 72, 72
C. 40, 60, 80
D. 50, 55, 75

Question

The measures of the angles of a triangle can be represented by the expressions (2x) , (3x - 20) , and (3x) . What are the measures of the three angles?
A. 20, 30, 130
B. 36, 72, 72
C. 40, 60, 80
D. 50, 55, 75

ivettef365 · Answer

2x + 3x-20 +3x = 180   solve for x

anonymous · Answer

Okay, so let's think about this. In any triangle, we have 3 angles (hence "TRI-angle"). No matter what, those 3 angles MUST add up to 180degrees. So therefore, whatever terms or numbers you are given, you must add them to equal 180degrees. Since we are given numbers in terms of x, we must add all the terms and angles together and simply solve for x. Once we've done that, we plug x back into all 3 of the angle "equations" that they gave us to find our actual angle measurements.

So $$(2x) + (3x - 20) + (3x) = 180$$

anonymous · Answer

None of them add up to 180

jdoe0001 · Answer

yes, but all internal angles in a triangle do sum up to 180 degrees
reason why they're being added up :)

anonymous · Answer

If you calculated correctly, if you plug x back in, all the angles should add to 180. All your choices add up to 180, so you can't eliminate any from the start.

ivettef365 · Answer

If  you add all the angles from the choices will = 180