Question

My brain does not want to do geometry right now

Answer 1

sense you are looking at a Star, the pentagon in the middle doesn't really matter. Each triangle has the same angles regardless of length.

The math here is if each outter point of the triangles are 39 degrees you will minus 39 from 180(total degree of a triangle), which leaves 141

141 / 2 = 70.5

therefore, X = 70.5

Answer 2

`\sf\\(i)\ \angle AJF=\angle DJI=x^o\ \ \ [\textsf{Vertically opposite angles are equal.}]`

`\sf\\(ii)\ \angle DJI+\angle JDI=\angle JIH\ \ \ [\textsf{An exterior angle of a triangle is equal to sum of the}\\\textsf{ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ opposite interior angles.]}\\\textsf{ \ \ \ \ or, }x^o+39^o=105^o\\\textsf{ \ \ \ \ or, }x^o=66^o`