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Question
The measure of unknown angle ∠BOD is
The measure of unknown angle ∠BOD is
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Solution
The correct option is D 30°
Given:
∠COE = 60°
∠EOB = 90°
The angle which have the common vertex and are formed by the same lines are said to be vertex angles.
Clearly, ∠COE and ∠FOD are the vertex angles.
∴ ∠COE = ∠FOD = 60°
We know,
∠EOF = 180° [Straight angle]
∠EOB + ∠BOD + ∠FOD = 180°
⇒ 90° + x° + 60° = 180°
⇒ x° + 150° = 180°
⇒ x° = 30°
∴ ∠BOD = x = 30°
Given:
∠COE = 60°
∠EOB = 90°
The angle which have the common vertex and are formed by the same lines are said to be vertex angles.
Clearly, ∠COE and ∠FOD are the vertex angles.
∴ ∠COE = ∠FOD = 60°
We know,
∠EOF = 180° [Straight angle]
∠EOB + ∠BOD + ∠FOD = 180°
⇒ 90° + x° + 60° = 180°
⇒ x° + 150° = 180°
⇒ x° = 30°
∴ ∠BOD = x = 30°
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