The angle measures of a triangle are 2x+5 degrees 6x-5 degrees and 7x degrees. What is the value of x?

x = 12

Step-by-step explanation:

We know that the total angle measure of a triangle is 180 degrees, so the sum of all the angles should be 180 degrees.

Therefore, we can add all the angles, set them equal to 180 and solve for x

2x+5 + 6x-5 + 7x = 180

We can combine all the x terms and all the numerical terms on the left side of the equation to get:

(2x+6x+7x) + (5-5) = 180

15x = 180

Then we can divide both sides by 15 to isiolate x

15x = 180

x = 180/15 = 12