Question

in thegiven figure two lines AB and CD intersect at a poini o if AOC+BOD=70 degree find the measure of <AOD.​

Answer 1

Answer:

aob is a linear pair

so, aoc +boc+bod

35+boc+35=180

70 + boc=180

boc=180-70

boc=110degree

boc=aod (VOA)

110degre=aod

Answer 2

Answer:

<AOD = 145°

Explanation:

AOC+BOD = 70° ( given )

AOC = BOD ( vertically opposite angles )

=> AOC = BOD = 70/2 = 35°

AOC + AOD = 180° ( linear pair )

35° + AOD = 180°

AOD = 180° - 35° = 145°

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