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Find the value of x that would make mlin.
m
(2x + 36)
4x
n
X=

Find the value of x that would make mlin. m (2x + 36) 4x n X=-example-1
User Thiaguerd
by
4.7k points

1 Answer

6 votes

∠( 2x + 36 ) and ∠4x are interior angles on the same side of transversal, which means their sum will add up to 180° .

Which means :-


= 2x + 36 + 4x = 180


= 6x + 36 = 180


= 6x = 180 - 36


= 6x = 144


= x = (144)/(6)


\hookrightarrow\color{hotpink} x = \color{hotpink}24

To find whether or not we have found out the correct value of x, let us place 24 in the place of x :-


= 2x + 36


= 2 * 24 + 36


= 48 + 36


\color{olive}∠(2x + 36) =\color{hotpink} 84°

Then :-


= 4x


= 4 * 24


\color{olive}∠4x =\color{hotpink} 96°

As , the sum of both these angles are adding upto 180° (84+96=180) , we can conclude that we have found out the correct value of x .

Therefore, the value of :-


\boxed{\color{olive}x \: \:\bold{\color{hotpink} = 24}}

User Nirali Kavar
by
4.1k points