Question

The measures of the angles of a triangle

are shown in the figure below. Solve for x.
60°
(4x+3)°
(2x+9)⁰

Answer 1

x = 18

Explanation:

In order for a triangle to be a triangle, all angles must add up to 180.

This means that we can create an equation to solve for x, using the angles given.

180 = 60 + (4x+3) + (2x+9) --> remove brackets and combine like terms

180 = 60 + 6x + 12

180 = 72 + 6x

108 = 6x

18 = x