Help please and expalin if you can

Thanks for the hint, computer overlord.

Angle FED is a right angle because all angles that subtend diameters are right.  So a is complementary to 35°.   a=55°.

b is an arc subtended by angle FEP.  So its measure will be double that angle, b=70°.

c is subtended by angle DEP which is a.  c will be double a, c=110°.

d is subtended by the 60° angle, so d=120°.

e is the other half of the semicircle from d, so together they should make 180°.  That means e=60°.

f subtends arc e so will be half, f=30°.  Since DEF is right it's also the complementary angle to 60°, also giving f=30°.

g subtends arc b, so it's half its measure, g=35°

h subtends arc d, so its half its measure, h=60°