Answer:
m∠ABF=45°
m∠AFB=110°
m∠FAB=25°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
In the triangle ABF
m∠ABF+m∠AFB+m∠FAB=180° ----> equation A
we have
m∠ABF=45° ----> given value
m∠AFB=110° ----> by vertical angles
substitute the given values in the equation A
45°+110°+m∠FAB=180°
115°+m∠FAB=180°
m∠FAB=180°-155°=25°
therefore
The measure of the three angles in triangle ABF are
m∠ABF=45°
m∠AFB=110°
m∠FAB=25°
