Two angles of a triangle have the same measure and the third one is 39 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

Answer 1

86 degrees is the largest angle

47 degrees are the two smaller angles

the angles of any triangle sum to 180 degrees

86+47+47 = 180

x + x + 39 + x = 39 +3x = 180

3x = 180-39 = 141

x = 141/3 =47 degrees

39+47 = 86 degrees

or it could be 34, 78 and 78 degrees which also sum to 180

and 78 is 34+39, but then you have two "largest" angles

39+x + 39+x + x = 180

x= (180-39-39)/3 = 34