In the adjoining figure, GP bisects angle BGH and HP bisects angle GHD. calculate the size of angle a.

90°

Step-by-step explanation:

AB and  CD are parallel lines and EF is reversal

Therefore angles BGH and DHG are consecutive interior angles

As we know the sum of consecutive interior angles equals to 180°:

Line GP bisects angle BGH , therefore

Line HP bisects angle GHD, therefore

Sum of two angles of triangle GHP:

Therefore the missing angle a is:

its line 2 i just added the rest or else it wouldn't let me answer