Intersecting lines include vertically opposite angels, linear pair angles,adjacent angles etc.

A)

We have,

75 + 47 + x + 83 + 92 = 360

297 + x = 360

∴ x = 360 – 297

⇒ x = 63

_________________________________________________________________

B)

POS is a straight line ⇒ ∠POS = 180

60 + 4x + 40 = 180 sup>0

100 + 4x = 180

4x = 180 – 100

4x = 80

x = 80/4

x = 20.

_________________________________________________________________

C)

According to the given figure, sum of all the angles is equal to 360

2x + x + 2x + 3x = 360

8x = 360

x = 360/8

x = 45

_________________________________________________________________

D) Find the value of the angles x, y and z in each of the following figures:

(i) x and 55° are vertically opposite angles,

so, x = 55°and y are linear pair,

∴ y + 55° = 180°

⇒ y= 125°

y and z are vertically opposite angles.

∴ y= z

⇒ y = z = 125

Hence,x= 55° and y= z = 125°

(ii) 40, x and 25 are linear pair

∴ 40+ x + 25= 180

⇒ x = 180- 40- 25

⇒ x = 115

40 and y are linear pair

40+ y = 180

y = 180- 40

= 140

Now, y and z are linear pair

∴ y + z = 180

140+ z = 180

z = 180- 140

z = 40

Hence, x = 115

• 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

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

7th grade math

8th grade math

9th grade math

10th grade math

11th grade math

12th grade math

Precalculus

Worksheets

Chapter wise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers