Question

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

Answer 1

x = 46

Explanation:

Angles in a triangle add up to equal 180

This means that 107 + 27 + x must equal 180

Note that we've just created an equation that we can use to solve for x.

107 + 27 + x = 180

* solve for x *

combine like terms

134 + x = 180

subtract 134 from both sides

134 - 134 + x = 180 - 134

x = 46