Question

Find x and explain how you found x

Answer 1

x=60

Explanation:

There are different ways to find x but this is what I found easiest.

To solve first note that AOD and CFB are vertical angles; this means that they are congruent. AOD consists of two angles with the measurements of 90 and x. CFB consists of two angles with the measurements of 30 and 2x. So, to find x set add the adjacent angles and set them equal to the other pair of angles. The equation would be
`90+x=30+2x`. First, subtract x from both sides; this makes the equation
`90=30+x`. Then, subtract 30 from both sides. This gives the final answer, x=60.