The angle measures of a triangle are:
2x+5 degrees, 6x-5 degrees, and 7x degrees. What is the value of x?
recall that the angles of a triangle sum to 180°. So, you must have
2x+5 + 6x-5 + 7x = 180
The sum of the angle measures of a triangle is always 180 degrees. So we can write the equation:
(2x+5) + (6x-5) + (7x) = 180
Simplifying the equation, we have:
2x + 5 + 6x - 5 + 7x = 180
15x = 180
Dividing both sides of the equation by 15:
15x/15 = 180/15
x = 12
Therefore, the value of x is 12.
To find the value of x, we can use the fact that the sum of the angle measures of a triangle is always 180 degrees.
So we have the equation:
(2x + 5) + (6x - 5) + 7x = 180
Let's simplify the equation by combining like terms:
2x + 5 + 6x - 5 + 7x = 180
15x = 180
Now, let's solve for x by dividing both sides of the equation by 15:
15x/15 = 180/15
x = 12
Therefore, the value of x is 12.