Question

given a line l is parallel to M and P is transversal line find the value of x
please tell me rhe answer​

Answer 1

Answer :-

• The value of x is 72.5°.

To find :-

• The value of x.

Step-by-step explanation :-

• Here, it is given that l is parallel to m and p is the transversal. We have to find the value of x.

Here,

• x and x + 35° are co-interior angles.

We know that :-

$\underline{\boxed{\sf Co\!-\!interior \: angles \: add \: up \: to \: 180^{\circ}}}$

Therefore,

 

$\longrightarrow (x) + (x + 35) = 180$

$\longrightarrow x + x + 35 = 180$

$\longrightarrow 2x + 35 = 180$

$\longrightarrow 2x = 180 - 35$

$\longrightarrow 2x = 145$  

$\longrightarrow x = \cancel{\dfrac{145}{2}}$

$\longrightarrow x = 72.5^{\circ}$

Hence :-

• The value of x is 72.5°.

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Verification :-

• To check our answer, let's put the value of x and see whether LHS = RHS.

LHS

 

$\rm \longrightarrow (x) + (x + 35)$

Substituting the value of x,

$\longrightarrow (72.5) + (72.5 + 35)$

$\longrightarrow 72.5 + 72.5 + 35$

$\longrightarrow 72.5 + 107.5$

$\longrightarrow 180$

RHS

$\longrightarrow 180$

LHS = RHS.

Hence verified!!

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