Question

If the angle measures in a triangle are: 3x-2, 4x, x - 2, determine the value of x. *

Answer 1

Hint :- The sum of all angles in a triangle is equal to 180 degree.

Answer 2

Add the given angles & equate them to 180 degree.
Find x & then find the actual value of the angles.

Answer 3

The key to this problem is to recognize that the sum of the angles of a triangle always add up to 180. So you can set up an equation like this:
2x%2B3%2B3x%2B5%2B5x%2B2=180
combine the like terms:
10x%2B10=180
solve for x:
10x=170

x=17
To find the measure of each angle, just plug x back into the equation of each angle. i will do one, you can do the other two:
a=2x%2B3
substitute in your value of x:
a=2%2817%29%2B3
a=37