A fan has 5 congruent blades that are spaced equally as shown below. What is the measure of the angle of rotation if blade M moves clockwise to the position of blade P?

9514 1404 393

  d  72°

Step-by-step explanation:

Moving from M to P, the fan has rotation 1/5 of the way around the 360° circle. Its angle of rotation is ...

  360°/5 = 72°

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°