Solved Problems on Parallel lines




In this section, we will discuss some solved problems on parallel lines.

Examples :

1) In the given figure line l is parallel to line m. ∠ c = 110
0 . Find the measures of remaining angles.

Solution :
∠ c = 110
0

∠ c = ∠ g ( Corresponding angles)

∴ ∠g = 110
0

∠ c = ∠ e ( Alternate interior angles)
∠ e = 110
0

∠ e = ∠ a (Corresponding angles)

∠ a = 110
0

∠ a and ∠ b form a linear pair angles. And linear pair angles are supplementary .( two angles add up to 180)

∴ ∠ a + ∠ b = 180

110 + ∠ b = 180

∠ b = 180 -110

∠ b = 70
0

∠ b = ∠ f (Corresponding angles)

∠ f = 70
0

∠ f = ∠ d ( Alternate interior angles)

∠ d = 70

∠ d = ∠ h ( Corresponding angles)
∴ ∠ h = 70

2) State which of the lines are parallel and why?
a)

Solution :
AC || DE ( As alternate interior angles are equal)
b)



Solution: AC is not parallel to DE ( As corresponding angles are not equal).
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Practice

1) Define Adjacent angles.
2) Two acute angles form linear pair angles.(True/False)
3)Which shape relevant to alternate interior angles. a)
F
b)
Z
4) If the corresponding angles are equal then what can you say about the lines.
5) If ∠A = 2x and ∠B=3x and the two angles are interior angles on the same side of the transversal then find the value of x and measures of each angle.

Basic Geometry

Point
Lines
Angles
Lines and Angles
Complementary angles
Supplementary angles
Vertically Opposite Angles
Linear Pair Angles
Adjacent Angles
Parallel Lines
Solved Problems on Intersecting Lines
Solved Problems on Parallel Lines

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