Question

I need to find the measures of both angles in each diagram.

Answer 1

In this question you are looking at a straight line. The sum of a straight line is 180 degrees. To work out the measurements of each angle you need to work out what x is first. 

This means that from your diagram:

(5x-30)+2x = 180

From here you get rid of the brackets

5x - 30 + 2x = 180

Because both the 30 and 180 are measured in degrees, you can move the 30 to the other side.

5x + 2x = 180 + 30

Therefor:

7x = 210

x = 210/7

x = 30

5x = 150

2x = 60


Hope that helps