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# Lines and Angles

#### Summaryarrow_upward

LearnNext Lesson Video

#### Length of a line segment:

The distance between the endpoints of a line segment is the length of the line segment. The length of a line segment can be measured accurately using a ruler and a divider.

#### Complete angle:

An angle of measure 3600 is called a complete angle.
One quadrant  =  ¼ (Complete angle)
= 1/4 x 3600900 =
Two quadrants = 1/2 (Complete angle) = 1/2 x 3600 = 1800
(Complete angle) = 3/4 x 3600 = 2700

#### Right angle:

An angle that measures 900 is called a right angle. A right angle makes a quarter revolutions.

#### Straight angle:

An angle that measures 1800 is called a straight angle. A straight angle makes a half revolution.

#### Acute angle:

An angle that measures less than 900 is called an acute angle.

#### Obtuse angle:

An angle that measures more than 900 and less than 1800 is called an obtuse angle.

#### Reflex angle:

An angle that measures more than 1800 is called a reflex angle.

#### Intersecting lines:

Two lines that meet each other at a single point are called intersecting lines.

#### Perpendicular lines:

Two lines that intersect each other at right angles are said to be perpendicular to each other.

#### Bisector of a line segment:

A bisector of a line segment is a line that divides the line segment into two equal parts.

#### Perpendicular bisector of a line segment:

The perpendicular line that divides a line segment into two equal parts is called the perpendicular bisector of the line segment.

### 1 . Find the angle which is equal to twice its compliment

let the angle=x
then the complemet will be=(90-x)
given,x=2(90-x)
=x=180-2x
=x+2x=180
=3x=180...

### 2 . Find the magnitude of the angles.

Sol:
1) Let the magnitude of the angle which is equal to its supplementary angle be 'x'.

? x = (180° - x)
?...

### 3 . Find the complementary and supplementary angles.

Sol:
Measure of a right angle = 90°
One third of the right angle = 30°
Complementary angle of one third of a right a...

### 4 . Find the bigger angle of the complementary angles.

Sol:
Ratio of complementary angles is 3:7
Let the angles be 3x and 7x.
3x + 7x = 90°
10x = 90°
x = 9...

### 5 . Find the supplementary angle.

Supplementary angle of 100 o 30'
= 180° - 100 o  30'
= 79° 30'