Question

in this figure ,the find value of y is

A) 60°
B) 30°
C) 18°
D) 90°​

Answer 1

Step-by-step explanation:

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.