Question

Two lines AB and CD intersect at O. (i) If Angle AOC + Angle BOD = 250°,find Angle AOC, Angle BOD, Angle AOD and Angle BOC (ii) If Angle AOC + Angle BOC + Angle BOD = 320°,find Angle AOC, Angle BOC, Angle BOD and Angle AOD (iii) If Angle AOC = (2x-3)° and Angle BOC = (3x-2)°, find Angle AOC, Angle BOC, Angle BOD and Angle AOD.​

Answer 1

Answer:

A) angle AOC = 125°

angle BOD = 125°

angle AOD = 55°

angle BOC = 55°

B) AOC = BOD = 140°

BOC = AOD = 40°

C) AOC = BOD = 71°

BOC = AOD = 109°

Answer 2

Answer:

APC=BOD=125 and AOD=BOC=55

ii )AOD=40 BOD=140 AOC =140 BOC=40

iii)AOC=71=BOD BOC=119=AOD