Question

Problem 1. Find the measure of each angle in the diagram below 85° (2x) x 35°

Answer 1

x =80 degrees

2x = 160 degrees

Step-by-step explanation:

The sum of angles at a point is 360 degrees. Therefore:

`\begin{gathered} 85\degree+2x+x+35\degree=360​\degree \\ 3x=360​\degree-85-35 \\ 3x=240 \\ x=(240)/(3) \\ x=80 \end{gathered}`

Therefore, the measure of the other angle is:

`2x=2*80=160^0`