in the given figure, AOC is a straight line. It
angle AOB - 50". angle AOE = 90° and angle
COD = 25. find the measure of:
Dangie BOC
angle EOD
obtuse angle BOD) reflex angie BOO
M reflex angle COE
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please give figure. n. please
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Answer:
(i) ∠AOB + ∠BOC = 180° (Linear pairs of angle) ⇒ 50° +∠BOC = 180° ⇒ ∠BOC = 180° – 50° = 130° ⇒ ∠BOC = 130°
(ii) ∠EOD + ∠COD = 90° (∵AOE = 90°) ⇒ ∠EOD + 25° = 90° ⇒ ∠EOD + 25° = 90° ⇒ ∠EOD = 90° – 25° ⇒ ∠EOD = 65°
(iii) ∠BOD = ∠BOC + COD = 130° + 25° = 155°
(iv) Reflex ∠BOD = 360° – ∠BOD = 360°- 155° = 205°
(v) Reflex ∠COE = 360° – ∠COE = 360° (∠COD + ∠EOD) = 360° – (25° + 65°) = 360° – 90° = 270°
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