Question

Pls answer this question

Answer 1

Answer:

× + 30 + x + 40 + 2x + 10 = 180 by linear pair

Step-by-step explanation:

x +30 + x + 40 + 2x + 10 = 180

4x + 80 = 180

4x = 180 - 80

4x = 100

x = 100/4

x = 25

Answer 2

We know that the value of an angle is 180° as a linear pair.

For finding the value of x we need to simplify the given angles by taking the whole as 180° with respect to linear pair.

Solution :

$\small{\longrightarrow{\sf{x + 30 + x + 40 + 2x + 10 = 180 }}}$

Adding up the like terms gives :

$\small{\longrightarrow{\sf{4x + 80 = 180}}}$

Transposing 90 to the other side of the equal to sign changes its sign from +80 to -80.

$\small{\longrightarrow{\sf{4x = 180 - 80}}}$

$\small{\longrightarrow{\sf{4x = 100}}}$

For finding (x) we need to transpose 4 and divide it by 100.

$\small{\longrightarrow{\sf{x = \dfrac{100}{4}}}}$

$\small{\longrightarrow{\sf{x =\cancel{ \dfrac{100}{4}} \implies 25}}}$

So the value of x is 25 ° .

Value of the figure :

• (x + 30) = (25° + 30) => 55°

• (x + 40) = (25° + 40) => 65°

• (2x + 10) = (2 × 25 + 10) => 60°

Verification :

If we add up all the angles we have got above ; we must get the sum as 180° as its the total value of an angle :

55 + 110 + 65 = 180°

160 + 60 = 180°

180° = 180°

LHS = RHS