Question

Two angles of a linear pair are in the ratio 3:6. Find two angles ​

Answer 1

Question:-

Two angles of a linear pair are in the ratio 3:6. Find two angles

Answer:-

• The angles are 60° and 120°

To find:-

• Angles

Solution:-

• Ratio = 3:6

Let,

• First angle = 3x
• Second angle = 6x

As we know,

• Sum of angles = 180° (Linear pair)

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: 3x + 6x = 180 \degree}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: 9x = 180 \degree}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: x = \frac{18 0}{9} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: x = 20 \degree}$

• The value of x is 20°

Now,

• First angle = 3x = 60°
• Second angle = 6x = 120°

Hence,

The angles are 60° and 120°

Answer 2

Answer:

60°,120°

Step-by-step explanation:

3:6

3x+6x=180°   ∵ they are in a linear pair

9x=180°

x=20°

3x=3(20)=60°

6x=6(20)=120°

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