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In the given figure, AOB is a line. Determine the value of Angle BOD , Angle DOC and Angle COA.​

In The Given Figure AOB Is A Line Determine The Value Of Angle BOD Angle DOC And Angle COA class=

Sagot :

SalmonWorldTopper

Solution :-

Method-1:-

From the given figure:

∠BOD = 2y°

∠DOC = 3y°

∠COA = 5y°

We know that

The sum of the angles lie on the same line = 180°

=> ∠BOD + ∠DOC + ∠COA = 180°

=> 2y° + 3y° + 5y° = 180°

=> 10y° = 180°

=> y° = 180°/10

=> y° = 18°

Therefore, y = 18°

Method-2:-

From the given figure:

∠BOD = 2y°

∠DOC = 3y°

∠COA = 5y°

We know that

∠COA = 90°

=> 5y = 90°

=> y = 90°/5

=> y = 18°

Method-3:-

From the given figure:

∠BOD = 2y°

∠DOC = 3y°

∠COA = 5y°

We know that

∠BOC+∠DOC = 90°

Since they are complementary angles

=> 2y+3y = 90°

=> 5y = 90°

=> y = 90°/5

=> y = 18°

Therefore, y = 18°

Answer:-

The value of y for the given problem is 18°

Used formulae:-

→ The sum of the angles lie on the same line = 180°

→ The sum of two angles is 90° then they are called Complementary angles.

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