GEOMETRY �& SPATIAL SENSE

TERM 1

MRSTAV

GEOMETRY & SPATIAL SENSE

solve angle-relationship problems involving triangles (e.g., finding interior angles or complementary angles), intersecting lines (e.g., finding supplementary angles or opposite angles), and parallel lines and transversals (e.g., finding alternate angles or corresponding angles)

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CURRICULUM

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GS

# Complementary And Supplementary Angles GS

Complementary �And Supplementary Angles

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Table of Contents

# Complementary And Supplementary Angles GS

Complementary �And Supplementary Angles

GS

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COMPLEMENTARY & SUPPLEMENTARY ANGLES

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COMPLEMENTARY ANGLES

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COMPLEMENTARY ANGLES

• Two angles are complementary if the sum of their angles equals 90^o.
• If one angle is known, its complementary angle can be found by subtracting the measure of its angle from 90^o.

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COMPLEMENTARY ANGLES

63^o

?

90^o = 63^o + __

? = 90^o – 63^o

27^o = 90^o – 63^o

27^o

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EXAMPLE OF COMPLEMENTARY ANGLES

What is the complementary angle of 43^o?

​

90^o - 43^o =

​

So, 43^o and 47^o are complementary angles

47^o

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EXAMPLE OF COMPLEMENTARY ANGLES

Angle A measures 32^o and Angle B measures ___^o. Angle A and Angle B are complementary angles, what is Angle B?

​

90^o - 32^o =

​

So, Angle B is 58^o

58^o

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HOW CAN I REMEMBER THAT?

C

omplementary

Since complementary angles equal 90^o, turn that C into a number 9 by drawing a line, then add a 0 after that to make it 90.

0

o

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Another way to remember…

• Just remember this phrase:

“It is always RIGHT to give COMPLIMENTS”

​

• A RIGHT angle is 90^o and COMPLIMENT and COMPLEMENTARY sound alike

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bit.ly/comangles

Play with COMPLEMENTARY ANGLES

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SUPPLEMENTARY ANGLES

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SUPPLEMENTARY ANGLES

• Two angles are supplementary if the sum of their angles equals 180º.
• If one angle is known, its supplementary angle can be found by subtracting the measure of its angle from 180º.

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EXAMPLE OF SUPPLEMENTARY ANGLES

What is the supplementary angle of 143^o?

​

180^o - 143^o =

​

So, 143^o and 37^o are supplementary angles

37^o

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EXAMPLE OF SUPPLEMENTARY ANGLES

Angle A measures ___^o and Angle B measures 60^o. Angle A and Angle B are supplementary angles, what is Angle A?

​

180^o - 60^o =

​

So, Angle A is 120^o

120^o

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How can I remember that?

• Draw the S in Supplementary
• S
• Since supplementary angles equal 180*, turn that S into a number 8 by drawing a line diagonal, then add a 1 in front of that and a 0 after to make it 180.
• So you change the S in supplementary into 180*!!

​

• S S 1S0*

​

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HOW CAN I REMEMBER THAT?

S

upplementary

Since supplementary angles equal 180^o, turn that S into a number 8 by drawing a slash, then add a 1 before and a 0 after that to make it 180.

1 0

o

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bit.ly/supangles

Play with SUPPLEMENTARY ANGLES

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• Complementary Angles
• Supplementary Angles

​

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TECH

INDEPENDENT

WORK

MATH GAME

MATH

JOURNAL

Joinmyquiz.com

Class code: 378635

Find the 2^nd activity at

MrStav.ca/math

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CENTRES

GUIDED

WITH STAV

1 2 3 4 5

TECH

INDEPENDENT

WORK

MATH GAME

MATH

JOURNAL

Joinmyquiz.com

Class code: 378635

Find the 2^nd activity at

MrStav.ca/math

MRSTAV

>>

>>

>>

>>

CENTRES

GUIDED

WITH STAV

1 2 3 4 5

∠A and ∠B are supplementary angles. If m∠A = 3x - 14 and ∠B = 8x +7, what does x equal?

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b°

a°

a°

a°

a°

a°

What is the value of 4a – b?

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b°

a°

a°

a°

a°

a°

What is the value of 4a – b?

2b = 90°

2b ÷ 2 = 90° ÷ 2

b = 45°

​

5a = 90°

5a ÷ 5 = 90° ÷ 5

a = 18°

​

Let a = 18, b = 45

Then:

4a – b

4(18) – 45

72 – 45

27°

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GEOMETRY & SPATIAL SENSE

• Sort and classify quadrilaterals by geometric properties, including those based on diagonals, through investigation using a variety of tools.
• solve angle-relationship problems involving triangles (e.g., finding interior angles or complementary angles), intersecting lines (e.g., finding supplementary angles or opposite angles), and parallel lines and transversals (e.g., finding alternate angles or corresponding angles)
• Construct a circle given its centre and radius, or its centre and a point on the circle, or three points on the circle.
• Investigate and describe the applications of geometric properties in the real world.

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CURRICULUM

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DIAGNOSTIC

TEST

UNIT

TEST

UNITS

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