Fig. Q. 12 Fig. Q. 13 In the given figure, if ZAOC + ZBOC + ZBOD = 338°, find all the four angles. Itinle Choice
Answers
Answer:
If ∠AOB = 45°, ∠BOC = 30° and ∠AOD= 110°;
find : angles COD and BOD.
(ii) If ∠BOC = ∠DOC = 34° and ∠AOD = 120° ;
find : angle AOB and angle AOC.
(iii) If ∠AOB = ∠BOC = ∠COD = 38°
find : reflex angle AOC and reflex angle AOD.
Solution
Transcript
Solution 13:
(i) \angle COD=\angle AOD-\angle AOC
=\angle AOD-\left(\angle AOB+\angle BOC\right)
=110° -(45° +30°)
=110°-75°=35°
\angle BOD=\angle AOD-\angle AOB
=110°-45°
=65°
(ii) \angle AOB=\angle AOD-\angle BOD
=\angle AOD-\left(\angle BOC+\angle COD\right)
=120° - (34°+34°)
=120° -68°
=86°
(iii) Reflex \angle AOC=360° - \angle AOC
=360° - \left(\angle BOC+\angle COD\right)
=360° -(38° +38°)
=360° -76° =284°
Reflex \angle AOD=360° -\angle AOD
=360° \left(\angle AOB+\angle BOC+\angle COD\right)
=360° -(38° +38° +38° )
=360° -114°
=246
=\angle AOD-\left(\angle AOB+\angle BOC\right)
=110° -(45° +30°)
=110°-75°=35°
\angle BOD=\angle AOD-\angle AOB
=110°-45°
=65°
(ii) \angle AOB=\angle AOD-\angle BOD
=\angle AOD-\left(\angle BOC+\angle COD\right)
=120° - (34°+34°)
=120° -68°
=86°
(iii) Reflex \angle AOC=360° - \angle AOC
=360° - \left(\angle BOC+\angle COD\right)
=360° -(38° +38°)
=360° -76° =284°
Reflex \angle AOD=360° -\angle AOD
=360° \left(\angle AOB+\angle BOC+\angle COD\right)
=360° -(38° +38° +38° )
=360° -114°
=246°
Step-by-step explanation:
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