Two angles of a triangle have the same measure and the third one is 51 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

let x,y,z be angles

x=y
z=51+y or 51+z
x+y+z=180
51+y+y+z=180
51+3y=180
solve y and put in z cause z is largest angle

Stop cheating queers

To find the measure of the largest angle in the triangle, we can first assign variables to the angles.

Let's say the measure of the two angles that are the same is x. Then, the measure of the third angle would be x + 51.

In a triangle, the sum of all three angles is always 180 degrees.

So, we can set up an equation to solve for x:

x + x + (x + 51) = 180

Now, let's simplify and solve the equation:

3x + 51 = 180

Subtract 51 from both sides of the equation:

3x = 180 - 51

3x = 129

Divide both sides by 3:

x = 43

So, the measure of the two angles that are the same is 43 degrees, and the measure of the third angle is 43 + 51 = 94 degrees.

Therefore, the largest angle in the triangle is 94 degrees.

I am puzzled ...

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43