Two angles of a triangle have the same measure and the third one is 48 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle

9514 1404 393

  92°

Step-by-step explanation:

If the third angle is 48° larger than either of the other two congruent angles, then the angle total in the triangle will be ...

  x +(x -48) +(x -48) = 180 . . . . . where x is the largest angle

  3x -96 = 180 . . . . . . collect terms

  x -32 = 60 . . . . . . divide by 3

  x = 92 . . . . . . . . add 32

The largest angle in the triangle is 92°.

The other two angles are 44° each.