Papers of Calculus - Rates of Change

Question:

$O i s t h e c e n t r e o f t h e c i r c l e . O R i s p a r a l l e l t o P Q . ∠ R O M = 44 ° W h a t i s t h e s i z e o f ∠ R M Q ? (A) 22 ° (B) 44 ° (C) 66 ° (D) 88 °$

Answer:

$C ∠ R P Q = 22 ° {∠ a t c e n t r e i s t w i c e ∠ a t c i r c u m f e r e n c e} ∠ O R M = 22 ° {a l t ∠' s, O R / / P Q} ∠ R M Q = 66 ° {e x t ∠ o f t r i a n g l e}$