Question

12. In the given figure, if ZAOC + ZBOD = 266°, find all the four angles.
7 영
C
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Fa 250
A
B
A
B
266
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Fig. Q. 12
Fig. Q. 13
13. In the given figure, if ZAOC + ZBOC + ZBOD = 338°, find all the four angles.​

Answer 1

Answer:

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Explanation:

Opposite angles are congruent.

Therefore, angle AOC+ angle BOD=266°

angle AOC=angle BOD

Therefore 2(angle AOC)=266°

Therefore, angle AOC=133°

Therefore angle BOD=133°

Angles in linear pair are supplementary.

Therefore, angle AOC+ angle BOC=180°

Therefore, 133°+ angle BOC=180°

Therefore, angle BOC= 47°

Therefore, angle AOD=47°

FINAL ANSWER:

angle AOC= angle BOD=133°

angle AOD= angle BOC=47°