If lines AC and BD intersect at point O such that angle AOB:angle BOC=4:5,find angle AOD

If lines AC and BD intersect at point O such that angle AOB:angle BOC=4:5,find angle AOD (2) If lines AC and BD intersects at point O such that LAOB LBOC— 4•.S, LAOD. c C) Sou' Find the angle between B) North and South

Let the angels AOB and BOC be 4x and 5x respectively.
angle AOB =  angle BOC                           [linear pair]
angle AOB + angle BOC =180
4x + 5x =180
9x = 180
x=180/9
x = 20
angle AOB = 4x = 4*20 = 80
angle BOC = 5x = 5*20 =100
angle BOC = angle AOD                            [ Vertically Opposite Angle ]
angle AOD = 100 degrees 

DEAR STUDENT ,

THIS IS THE ANSWER TO YOUR QUESTION . HOPE THIS HELPS .

= 5 x 20
= 100 DEGREES
THEREFORE ,

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