sum of angles angle theorem - stem math & …...exterior angle theorem-: thesumofthe 2 remote...

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This was created by Keenan Xavier Lee - 2015. See my website for more information, lee-apcalculus.weebly.com. 8.5 Sum of Interior Angles Theorem & Exterior Angle Theorem Standard : G. CO . 10

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$Page 1: Sum of Angles Angle Theorem - STEM Math & …...Exterior Angle theorem-: Thesumofthe 2 remote y\inYYnYeax¥r%YneE!a a tb =d = cd note: adjacenttnextto nonadjmenthotnextto 1remote)$

This was created by Keenan Xavier Lee - 2015. See my website for more information, lee-apcalculus.weebly.com.

8.5 Sum of Interior Angles Theorem &

Exterior Angle Theorem

Standard :

G. CO.

10

$Page 2: Sum of Angles Angle Theorem - STEM Math & …...Exterior Angle theorem-: Thesumofthe 2 remote y\inYYnYeax¥r%YneE!a a tb =d = cd note: adjacenttnextto nonadjmenthotnextto 1remote)$

This was created by Keenan Xavier Lee - 2015. See my website for more information, lee-apcalculus.weebly.com.

# Sumoflnteriornnglesinatviangle

Let's consider thefllwing triangle .

€.

Kenneth

.tn?:bo!ne:ieoatrianv:ang1esinanytriang1eissnpplementary..a

Tiangkswmthemem"

Examples ] Findthemissingangleineach triangle .

A . 45+900+8=1800

1350+8=1800

°Ex°=45°45

B C

�2�B

5×1-(2×-30)'s

(3×+10)=1800Mis'YE±hx#£*#oz#x'kc10×-200

A X=2O

5401=100 420-30=10 3401+10=70

$Page 3: Sum of Angles Angle Theorem - STEM Math & …...Exterior Angle theorem-: Thesumofthe 2 remote y\inYYnYeax¥r%YneE!a a tb =d = cd note: adjacenttnextto nonadjmenthotnextto 1remote)$

This was created by Keenan Xavier Lee - 2015. See my website for more information, lee-apcalculus.weebly.com.

[email protected]

indthe unknown.

�1� �2�

830Xy �3�

38 H 108 23lateE;%.¥40t3O°tX=1w°830+250+6=1800 9ft23°t×=18o°

700+11=1800 1084×-1800 1210-1×-1800x=11O° ×=7z° 11=590

1100+9=1800 720+9=1800 590+9=1800y=7o° y=1O8° y= 1210

Canyon seeangpattemstomakeaomdusim ?

There is a relationship between the exkriwanglel 2 interiorangles

notnexttotheextriwangkthesumofthe

2 interim

anglesfarthestawadisequallatheexteriorangk .

Exterior Angle theorem-

:

Thesumofthe 2 remote

y\inYYnYeax¥r%YneE!aa°tb°=d°

cd=note : adjacenttnexttononadjmenthotnextto

1 remote)

$Page 4: Sum of Angles Angle Theorem - STEM Math & …...Exterior Angle theorem-: Thesumofthe 2 remote y\inYYnYeax¥r%YneE!a a tb =d = cd note: adjacenttnextto nonadjmenthotnextto 1remote)$

This was created by Keenan Xavier Lee - 2015. See my website for more information, lee-apcalculus.weebly.com.

Examples] Find all the missing angles .

1%xIe*¥t¥ s÷ex÷÷.

×= 30030

13×+5+27×-3=1220

1313+5=44,3×+513×+27×+5-3=122044 40×+2=1220 2713) - 3=78°⇒€¥

405¥00tE¥¥±T122°

y=58°

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