what do we use to measure the angle? protractor angles, measuring angles the unit of measurement of...

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What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees. 90 degrees is written as 90 0 .

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Page 1: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

What do we use to measure the angle?

PROTRACTOR

Angles, Measuring Angles

The unit of measurement of an angle is degrees.

We measure angles in degrees.

90 degrees is written as 900.

Page 2: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

Zero line or base line Center or origin

Angles, Measuring Angles

Parts of Protractor

Scale

Page 3: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

Angles, Measuring Angles

The scale at the outside is called outer scale.

Scale of Protractor The scale at the inside is called inner scale.

00 of outer scale

00 of inner scale

You can measure an angle using the outer or inner scale depending where you put the arm.

What is the arm?

Page 4: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

Angles, Measuring Angles

Line A

Scale of Protractor

arm

The line that you will place on the base line

or zero line of the protractor is called

the arm.

Page 5: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

Angles, Measuring Angles

Line A

Scale of Protractor

arm

The line that you will place on the base line

or zero line of the protractor is called

the arm.

Page 6: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

Angles, Measuring Angles

Line A

Why not 1200?Because the 00 of the inner scale lies on Line A or the arm.

Scale of Protractor

600

Start counting at 0O from the

arm.

It can be 0o of the inner

scale or outer scale.

arm

How wide is the

angle?

Page 7: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

600

Angles, Measuring Angles

Line B

Why not 1200?Because the 00 of the outer scale lies on Line B or the arm.

Scale of Protractor

Start counting at 0O from the

arm.

It can be 0o of the inner

scale or outer scale.

arm

How wide is the

angle?

Page 8: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

Measuring an angle

A

BC

vertex

1st step: place the zero line or base line of the protractor on one side of the angle or the arm.

2nd step: place the center at the vertex of the angle.

70o

Angles, Measuring Angles

3rd step: read off the outer scale.

Example 1

arm

Page 9: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

Measuring an angle

A

BC

vertex

70o

Angles, Measuring Angles

Example 1

Why 700?

Start reading

armarm

Page 10: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

Measuring an angle

A

BC

vertex

Angles, Measuring Angles

Example 1

Start reading Why

700?

arm

Page 11: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

Measuring an angle

A

BC

vertex70o

Angles, Measuring Angles

Example 1

End reading Why

700?

arm

Page 12: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

A

BC

vertex

60o

Measuring an angle

1st step: place the zero line or base line of the protractor on one side of the angle or the arm.

2nd step: place the center at the vertex of the angle.

Angles, Measuring Angles

3rd step: read off the inner scale.

Example 2

arm

Page 13: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

A

BC

vertex

Measuring an angleAngles, Measuring Angles

Example 2

Why 600?

Start reading

armarm

Page 14: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

A

BC

vertex

Measuring an angleAngles, Measuring Angles

Example 2

Why 600?

Start reading

arm

Page 15: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

A

BC

vertex

Measuring an angleAngles, Measuring Angles

Example 2

Why 600?

End reading

arm

60o

Page 16: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

Measuring an angle

A

BC

vertex

1st step: place the zero line or base line of the protractor on one side of the angle or the arm.

2nd step: place the center at the vertex of the angle.

70o

Angles, Measuring Angles

3rd step: read off the inner scale.

Example 1, alternative

arm

Page 17: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

A

BC

vertex

60o

Measuring an angle

1st step: place the zero line or base line of the protractor on one side of the angle or the arm.

2nd step: place the center at the vertex of the angle.

Angles, Measuring Angles

3rd step: read off the outer scale.

Example 2, alternative

arm

Page 18: What do we use to measure the angle? PROTRACTOR Angles, Measuring Angles The unit of measurement of an angle is degrees. We measure angles in degrees

R =

R

80o S = 67o

S

W

W = 31o

Measuring an angleAngles, Measuring Angles

Example 3