Question

Triangle F G H is shown with its exterior angles. Line H G extends past point G. Line G F extends past point F. Line F H extends past point H. Angle G F H is 53 degrees. Angle F H G is 45 degrees. The exterior angle at point G is x degrees.
What is the value of x?

Answer 1

@jhonyy9

Answer 2

i think its y=mx+b form

Answer 3

No, that's slope.

Answer 4

What do you think?

Answer 5

Drawing a picture will help:

Answer 6

The "Exterior Angle Theorem" (source: https://www.mathsisfun.com/geometry/triangle-exterior-angle-theorem.html )
says that the missing exterior angle is equal to the sum of the two interior angles furthest away from it.

There is a proof on that website describing why that formula is true because of the triangle sum theorem

Essentially:
x = 53 + 45