SOLUTION: it a triangle has two angles of equal measuer, then the thrid angle is what?

Question 117566: it a triangle has two angles of equal measuer, then the thrid angle is what?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x=measure of angle 1, y=measure of angle 2, and z=measure of angle 3,

Since two angles are equal to one another (say the first two), this means that . Now remember, the sum of the angles of a triangle is always 180 degrees. In other words,

But remember, . So we can replace y with x to get

Combine like terms

Subtract 2x from both sides to isolate z (which is the third angle)

So the third angle can be found through the formula

if the first two angles are equal.

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