Correct option is A
Given:
AB∥CD
EF∥CD
∠APO = 35∘
∠CQO = 43∘
Concept Used:
Alternate interior angles: When two parallel lines are cut by a transversal, alternate interior angles are equal.
Sum of corresponding angle: The sum of the angles is 180∘
Solution:
∠APO+∠EPO=180°(corresponding angles) 35°+∠EPO=180° ∠EPO=180−35=145°
Similarly;
∠CQO+∠EOQ=180°(corresponding angles) 43°+∠EOQ=180° ∠EOQ=180−43=137°
Now,
∠EOP+∠EOQ=145+137=282°