Question

Find angle 5 | having some trouble with this one

Answer 1

122

Step-by-step explanation:

First, we need to find the following angle

So, by the interior angle theorem, this angle is equal to

`\begin{gathered} \angle AOB=(1)/(2)(AB+ED) \\ \\ \angle AOB=(1)/(2)(50+66) \\ \\ \angle AOB=(1)/(2)(116) \\ \\ \angle AOB=58 \end{gathered}`

Then, angle 5 and angle AOB form a line, so they sum 180 degrees and we can calculate the measure of angle 5 as

`\begin{gathered} \angle5+\angle AOB=180 \\ \angle5=180-\angle AOB \\ \angle5=180-58 \\ \angle5=122 \end{gathered}`

Therefore, the answer is 122.