Math homework, the answer plus process should be written because of what, and the nature should be written in brackets. The format should be right, dear. Do the third question

∠BAC=45

∠DAC=30

So: ∠ BAP = ∠ BAC-∠ DAC = 15.

∠ BPA = 180-∠ CBA-∠ BAP =180-90-15 = 75 (the sum of the interior angles of a triangle is180, and the number of two angles is known, which can be

∠BPA=∠DPC (diagonal lines of two straight lines are equal)

So:

∠DPC=75

Another solution

Because angle B = 90, angle BAC = 45, the sum of the internal angles of triangle ABC is 180.

So BCA angle =45 degrees.

And because angle DPC= angle PCA+ angle PAC (the sum of the outer angles of a triangle is equal to the sum of the other two inner angles).

And the angle DAC = 30 (i.e. the angle PAC).

So the angle DPC = 30+45 = 75.