Scribd
Upload
187 views20 pages

The Third Property of A Parallelogram: in A Parallelogram Any Two Consecutive Angles Are Supplementary

In a parallelogram, consecutive angles are supplementary: - A parallelogram is a quadrilateral with two pairs of parallel sides - Any two consecutive angles in a parallelogram add up to 180 degrees - Supplementary angles always sum to 180 degrees

Uploaded by

Jhared Montero
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PPTX, PDF, TXT or read online on Scribd
187 views20 pages

The Third Property of A Parallelogram: in A Parallelogram Any Two Consecutive Angles Are Supplementary

In a parallelogram, consecutive angles are supplementary: - A parallelogram is a quadrilateral with two pairs of parallel sides - Any two consecutive angles in a parallelogram add up to 180 degrees - Supplementary angles always sum to 180 degrees

Uploaded by

Jhared Montero
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PPTX, PDF, TXT or read online on Scribd
You are on page 1/ 20

THE THIRD PROPERTY OF

A PARALLELOGRAM

IN A PARALLELOGRAM ANY TWO


CONSECUTIVE ANGLES ARE
SUPPLEMENTARY
WHAT IS
PARALLELOGRAM?
WHAT IS
PARALLELOGRAM?

PARELLOGRAM IS A
QUADRILATERAL WITH 2 PAIRS
OF PARALLEL SIDES
• If a quadrilateral is a
parallelogram, then its consecutive
angles are supplementary (add up
to 180°).
M ∠P +m ∠Q = 180°,
m ∠Q +m ∠R = 180°,
m ∠R + m ∠S = 180°,
m ∠S + m ∠P = 180°
WHAT IS
SUPPLEMENTARY ANGLE?
WHAT IS
SUPPLEMENTARY ANGLE?

Supplementary angles refer to the pair of angles that always


sum up to 180°. These two angles are called supplements of
each other. The word “supplementary” comes from two Latin
words “Supplere” and “Plere” where “Supplere” means
“supply”, whereas “Plere” means “fill”. So, “supplementary”
means “something when supplied to complete a thing”.
WHAT IS CONSECUTIVE
ANGLE?
WHAT IS CONSECUTIVE
ANGLE?

Two angles are consecutive when


they have the same vertex and
share a side.
m∠X + m∠W = 180°
EXAMPLE:
m∠X + m∠W = 180°
EXAMPLE: 7x + 8 + 20x + 10 = 180°
m∠X + m∠W = 180°
EXAMPLE: 7x + 8 + 20x + 10 = 180°
27x + 18 =180°
m∠X + m∠W = 180°
EXAMPLE: 7x + 8 + 20x + 10 = 180°
27x + 18 =180°
27x =180 - 18
27x = 162
m∠X + m∠W = 180°
EXAMPLE: 7x + 8 + 20x + 10 = 180°
27x + 18 =180°
27x =180 - 18
27x = 162
___ ___
27 27

x=6
SUBSTITUTE THE X: X=6
m∠X = 7x + 8 m∠W = 20x + 10
SUBSTITUTE THE X: X=6
m∠X = 7x + 8 m∠W = 20x + 10
= 7(6) + 8 =20(6) + 10
SUBSTITUTE THE X: X=6
m∠X = 7x + 8 m∠W = 20x + 10
= 7(6) + 8 =20(6) + 10
=42 + 8 =120 + 10
SUBSTITUTE THE X: X=6
m∠X = 7x + 8 m∠W = 20x + 10
= 7(6) + 8 =20(6) + 10
=42 + 8 =120 + 10
m∠X=50 m∠W=130
SUBSTITUTE THE X: X=6
m∠X = 7x + 8 m∠W = 20x + 10
= 7(6) + 8 =20(6) + 10
=42 + 8 =120 + 10
m∠X=50 m∠W=130
m∠X=50 + m∠W=130
SUBSTITUTE THE X: X=6
m∠X = 7x + 8 m∠W = 20x + 10
= 7(6) + 8 =20(6) + 10
=42 + 8 =120 + 10
m∠X=50 m∠W=130
The m∠X and
m∠W are m∠X=50 + m∠W=130
supplementary
=180
THANK YOU FOR
LISTENING

You might also like