Two lines AB and CD intersect at a point O. If <AOC = 609, find the me

1.	Two lines AB and CD intersect at a point O. If <AOC = 609, find the measof each of the LAOD, <BOD and BOC.60°
Answer» <BOD = <AOC(vertically opposite angles)Hence, <BOD = 60° We know sum of all angles around a point is 360° So,<BOD + <AOC + <AOD + <BOC = 360° Let,<AOD = <BOC = x(vertically opposite angles) Hence, 60 + 60 + x + x = 3602x = 360 - 120 = 240x = 240/2 = 120 Therefore, <AOD = <BOC = 120°

Two lines AB and CD intersect at a point O. If <AOC = 609, find the measof each of the LAOD, <BOD and BOC.60°

Answer»

<BOD = <AOC(vertically opposite angles)Hence, <BOD = 60°

We know sum of all angles around a point is 360°

So,<BOD + <AOC + <AOD + <BOC = 360°

Let,<AOD = <BOC = x(vertically opposite angles)

Hence, 60 + 60 + x + x = 3602x = 360 - 120 = 240x = 240/2 = 120

Therefore, <AOD = <BOC = 120°