Question

this question is very argent help me friends​

Answer 1

Question :-

The value of x from the adjoining figure, if l || m is,

• 15°
• 10°
• 19°
• 36°

According to the question :-

➞ (120 - x)° + 5x° = 180° (Reason : Linear pair)

➞ 120° - x° + 5x° = 180°

➞ 120° + 4x° = 180°

➞ 4x° = 180° - 120°

➞ 4x° = 60°

➞ x = 60° ÷ 4

➞ x = 15°

• So,the value of x is 15°. Hence, option a) 15° is correct.

____________________

Verification :-

➞ (120 - x)° + 5x° = 180°

➞ 120° - 15° + 5(15°) = 180°

➞ 105° + 75° = 180°

➞ 180° = 180°

.°. L.H.S = R.H.S

Hence,verified.

Answer 2

Answer:

Solution :-

Here we have to find x in figure

As we know that sum of linear pair is 180⁰.

$\tt \longrightarrow \: (120 - x ) \degree + 5x \degree = 180\degree$

$\tt \longrightarrow \: 120 \degree + (5x - x) = 180\degree$

$\tt \longrightarrow \: 120\degree + 4x\degree = 180\degree$

$\tt \longrightarrow \: 4x\degree = 180\degree - 120\degree$

$\tt \longrightarrow 4x\degree = 60\degree$

$\tt \longrightarrow \: x = \dfrac{60}{4} = 15\degree$

Therefore :-

Option A is correct.