In the given figure, AOB is a straight line. If ∠BOC, ∠COD and ∠DOA be in the ratio 2 : 3 : 4, find the measure of each of these angles.
Lines & Angles
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Question

In the given figure, AOB is a straight line. If ∠BOC, ∠COD and ∠DOA be in the ratio 2 : 3 : 4, find the measure of each of these angles.

KnowledgeBoat · Accepted Answer

Given: ∠BOC = (2x)° ∠COD = (3x)° ∠DOA = (4x)° Since, AOB is a straight line, ∴ ∠BOC + ∠COD + ∠DOA = 180° Substituting the values in above, we get: 2x° + 3x° + 4x° = 180° ⇒ 9x° = 180° ⇒ x° = ⇒ x° = 20° Let's find the measure of each angle by substituting the value of x: ∠BOC = (2x)° = (2 x 20)° = 40° ∠COD = (3x)° = (3 x 20)° = 60° ∠DOA = (4x)° = (4 x 20)° = 80° ∠BOC = 40°, ∠COD = 60° and ∠DOA = 80°.

Mathematics

In the given figure, AOB is a straight line. If ∠BOC, ∠COD and ∠DOA be in the ratio 2 : 3 : 4, find the measure of each of these angles.

Lines & Angles

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