206k views
7 votes
Find the value of x. The diagram is not to scale.

110°
57°

I found one other post on this and the only answer was “show the diagram” please help

Find the value of x. The diagram is not to scale. 110° 57° I found one other post-example-1
User Yeoman
by
3.8k points

1 Answer

5 votes

Answer:

x = 13

Explanation:

110° is the vertically opposite angle of one of the interior angles of the given triangle.

Therefore,


x \degree + 57 \degree + 110 \degree = 180 \degree \\ \\x \degree + 167 \degree = 180 \degree \\ \\ x \degree = 180 \degree -167 \degree \\ \\ x \degree = 13 \degree \\ \\ x = 13

User PhazingAzrael
by
4.5k points