Angle P is an acute angle drawn on a sheet of paper. Its measure is 34∘. Answer the following:
a. (i) Calculate the measure of the angle that completes P to a right angle.
b. (ii) Verify your answer in part (i) by showing that the two angles add up to 90∘.
c. (iii) If angle P is increased by 8∘, determine the new angle that will complete it to a right angle. Show your working clearly.