Question

4) Using the figure below, what is x? 68° X 121° 85° 103°

Answer 1

163º

1) Since the sum of interior angles of a pentagon can be found by using this formula:

`\begin{gathered} S_i=180(5-2) \\ S_i=180(3) \\ S_i=540^(\circ) \end{gathered}`

2) Then we can write out the following equation for the missing angle:

68º +x +85º +103º +121º = 540º

x+377º= 540º

x= 540º-377º

x= 163º

3) Hence, the answer is 163º