Question

in the given figure if angle AOC+BOD=266 degree find all the four angles

Answer 1

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GIVEN THAT <AOC+<BOD=266

LET,<AOC AND< BOD BE X

<AOC+<BOD=266

X+X=266

2X=266

X=266/2

X=133

<BOC+<AOC=180° (LINEAR PAIR)

<BOC+133=180°

<BOC=180-133

<BOC=47°

<BOC=<AOD (VOA)- VERTICALLY OPPOSITE ANGLE

<AOC=133

<BOD=133

<BOC=47

<AOD=47

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I HELPED BECAUSE I HAVE THE SAME QUESTION IN MY MATS HOLIDAY ASSIGNMENT

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Answer 2

Here ∠AOC=∠BOD From given, ∠AOC = ∠BOD = 133

And total angle is 360 degrees. Further ∠AOB=∠BOC = 180-133=47 DEGREES