the figure given below, find the value of x for which the lines L and M are parallel
140°
(2x+10°)
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Step-by-step explanation:
Solution :-
Given that
l and m are parallel lines
a transversal intersects the two lines then the angles formed are 140° and (2x+10)°
They are interior angles on the same side to the transversal which are supplementary.
=> (2x+10)° +140° = 180°
=> 2x+10° = 180°-140°
=> 2x+10° = 40°
=> 2x = 40°-10°
=> 2x = 30°
=> x = 30°/2
=> x = 15°
Therefore, x = 15°
Answer:-
The value of x for the given problem is 15°
Used formulae:-
→ If two parallel lines Intersected by a transversal then the interior angles on the same side to the transversal are supplementary.
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