# 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

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