Question

How do I find the degree measure of each angle in the attached problem?

Answer 1

Given:

`\begin{gathered} \angle V=(4x-6)^(\circ) \\ \angle W=(7x-6)^(\circ) \\ \angle X=x^(\circ) \end{gathered}`

As it is knwon that, the sum of measure of angles of triangle is 180 degree.

`\begin{gathered} \angle V+\angle W+\angle X=180^(\circ) \\ 4x-6+7x-6+x=180 \\ 12x=180+12 \\ 12x=192 \\ x=16^(\circ) \end{gathered}`

Therefore, the measure of each angle is,

`\begin{gathered} \angle V=4x-6=4(16)-6=58^(\circ) \\ \angle W=7x-6=7(16)-6=106^(\circ) \\ \angle X=x=16^(\circ) \end{gathered}`