In the given figure, ∠ ABC is a straight angle. If x = 53∘, then find y.
150∘
147∘
127∘
37∘
Since ∠ABC is a straight angle, its measure = 180∘. Given: ∠ABD = 53∘ ∠ABD + ∠DBC = 180∘ ∴ ∠DBC = 180∘−53∘=127∘
In the given figure, if AB || CD, ∠APQ = 50º and ∠PRD = 127º, find x and y.