Question

How do I solve for the missing angle?!And please include explanations​ on how you got the answer

Answer 1

Answer:

75°

Step-by-step explanation:

In triangle FBG, one angle is 36.  That means the other two must total 180-36=144.  Assigning each one 72, their supplementary angle on the interior of the pentagon would be 108.

In triangle JDI, one angle is 39.  That means the other two must total 180-39=141.  Assigning each one 70.5, their supplementary angle on the interior of the pentagon would be 109.5

We now have 4 of the interior angles.  Pentagons have an interior total of 540.  540-108-108-109.5-109.5=105

x is the supplement of 105.  180-105=75