Question

If AB and CD intersects each other at point O. angle AOD = 4x+20 and angle COB = 3y+ 15 and given x:y = 2:3. find angle AOC.​ pls urgent!!!!

Answer 1

Answer:

X = 37

∠bod  = 37°

∠aod = 143°

∠aoc = 37°

∠boc = 143°

Step-by-step explanation:

ab is a straight line

=> ∠aod  + ∠bod = 180°

∠bod  = X°

∠aod  = (4X - 5) °

=> X° + (4X - 5) ° = 180°

=> 5X° = 185°

=> X = 37

∠bod  = 37°

∠aod = 4X - 5 = 4*37 - 5  = 143°

∠aoc = ∠bod (opposite angles)

=> ∠aoc = 37°

∠boc = ∠aod (opposite angles)

=> ∠boc = 143°