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

x = 53° + 45° = 98°.

Reason: an exterior angle of a triangle equals the sum of the two remote interior angles.