Question

Two angles of a triangle have the same measure and the third one is 3 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

Answer 1

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Answer:

62°

Explanation:

If x is the largest angle, the sum of angles in the triangle is ...

x + (x -3) +(x -3) = 180

3x -6 = 180 . . . . . simplify

x -2 = 60 . . . . . . . divide by 3

x = 62 . . . . . . . . . .add 2

The largest angle is 62°.