Interior and Exterior Angles in Parallel Lines


 
 
Concept Explanation
 

Interior and Exterior Angles in Parallel Lines

Interior anglesInterior angles are the angles lying inside the region between the two lines, which are intersected by a transversal. In the given figureangle 3,angle 4,angle 5 andangle 6 are interior angles.

Exterior angles: Exterior angles are the angles lying outside the region between the two lines, which are intersected by a transversal. In the given figureangle 1,angle 2,angle 7 andangle 8 are exterior angles.

Illustration: Find the interior and exterior angles in the following figure

Solution: In this figure, two angles i.e.angle 130^{0}; and; angle y are exterior angles as these angles lying outside the region between the two lines, which are intersected by a transversal. Also angle 1^{0}; and; angle xare interior angles as these angles lying inside the region between the two lines, which are intersected by a transversal.

Illustration: Find the interior and exterior angles in the following figure.

Solution: In this figureangle x+15^{0} is the exterior angle as this angle lies outside the region between the two lines, which are intersected by a transversal. Also angle 2y+25^{0}; and; angle 3yare interior angles as these angles lying inside the region between the two lines,which are intersected by transversal .

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Sample Questions
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Question : 1

Angle 3 is _____________ and Angle 2 ________

Right Option : A
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Question : 2

Angle 1 is _____________

Right Option : A
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Question : 3

In the following figure If l_{1}||l_{2} .what is the value of y?

Right Option : C
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