Question

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

Answer 1

Answer:

x =80 degrees

2x = 160 degrees

Explanation:

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

$\begin{gathered} 85\degree+2x+x+35\degree=360​\degree \\ 3x=360​\degree-85-35 \\ 3x=240 \\ x=\frac{240}{3} \\ x=80 \end{gathered}$

Therefore, the measure of the other angle is:

$2x=2\times80=160^0$