Question

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

Answer 1

9514 1404 393

Answer:

92°

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°.

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The other two angles are 44° each.