^
Press to see the problem

The measure of Angle F is 64 degree

Step-by-step explanation:

We can draw a new line j cross the point P. Line j is parallel with both line k and line h.

Line j divides angle F into F1 and F2.

As line h and line j are parallel with each other, line segment AP intersects line h at A, intersects line j at P

=> so that Angle A and Angle F1 are alternate interior angles.

=> Angle A = Angle F1 => Angle F1 = 20 degree

As line k and line j are parallel with each other, line segment BP intersects line k at B, intersects line j at P

=> so that Angle B and Angle F2 are alternate interior angles.

=> Angle B = Angle F1 => Angle F2 = 44degree

We have:  Angle F = Angle F1 + Angle F2 = 20 + 44 = 64

=> The measure of Angle F is 64 degree

take it another