the angle measure of a triangle are (x-7) (x) and (3x+2). write an expression in simplest form to represent all of the measures of the angles of the tringle
one expression cannot describe all the measures of the triangle.
However,
x-7 + x + 3x+2 = 180
if in degrees
sum of angles in triangle = 180
x - 7 + x + 3 x + 2 = 180
5 x - 5 = 180
5 x = 185
x = 37
x-7 = 30
3x+2 = 113
To find the expression representing the sum of all the angle measures of a triangle, we need to use the fact that the sum of angles in a triangle is always 180 degrees.
So, the expression representing the sum of all the angle measures is:
(x-7) + x + (3x+2)
Now, let's simplify this expression:
(x-7) + x + (3x+2)
First, distribute the 3 to (3x+2):
x - 7 + x + 3x + 2
Then, combine like terms:
(x + x + 3x) + (-7 + 2)
5x - 5
Therefore, the expression in simplest form representing all three angles of the triangle is 5x - 5.