Question

Given the following diagram, find the missing measure 2 m_2 = 2x°, m _3 = 5x, m 1 = 0 2x + 5% 5x - 2x 180 - 5x 180 - 7x

Answer 1

We know 3 angles sum to 180 degrees {in a triangle]. Thus, we can write:

`\angle1+\angle2+\angle3=180\degree`

We are given Angles 2 and 3 and are told to find Angle 1. We substitute and do a bit algebra to figure Angle 1 out. The steps are shown below:

`\begin{gathered} \angle1+\angle2+\angle3=180\degree \\ \angle1+2x+5x=180 \\ \angle1+7x=180 \\ \angle1=180-7x \end{gathered}`

The last answer choice is correct.