Question

For what value of x will line L be parallel to line m?

Step by step explanation please​

Answer 1

Answer:

Given :-

Line l and Line m.

To find :- Value of 'x'.

Whether Line l is parallel to Line m.

Solution :-

Consider a = (x - 10)°, b = (2x + 40)°..........(1)

Let /_c be vertically opposite to /_a.

/_a = /_c ............(Vertically opposite angles)

But /_a = x - 10°..........(From 1)

/_c = x - 10°

/_b + /_c = 180° .....( Interior angles)

(2x + 40)° + (x - 10)° = 180°

3x° = 180° - 30°

x = 50°.

Substiuting x,

(2x + 40)° + (x - 10)° = 180°

(2 x 50° + 40)° + ( 50° - 10)° = 180°

180° = 180°.

Line l || Line m .......(Interior angle test)

Answer :- Value of x = 50°.Hence proved.

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