Question

The measures of the angles of a triangle are shown in the figure below.
Solve for x.

Answer 1

x = 13

Explanation:

All of the interior angles of a triangle add up to equal 180 degrees.

This means that if you set the expressions from your problem to equal 180, you'll get the value of x:

6x - 9 + 4x + 10 + 4x - 3 = 180 (original equation)

14x - 2 = 180 (combine like terms)

+2 +2 (add 2 to both sides)

14x = 182

x = 13 (divide both sides by 14)