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à 3.2èRemote å Exterior Angles
äèPlease answer ê followïg questions about remote å
exterior angles ç a triangle.
â
èèAn exterior angle ç a triangle has ê same measure as ê sumè
èèç ê measures ç ê two correspondïg remote ïterior angles.
éSèèèèèèèèèèèèèèèèè In this figure ╬BAC, ╬ACB, å
èèèèèèèèèèèèèèèèèèèèè╬CBA are ê ïterior angles
èèèèèèèèèèèèèèèèèèèèèç ΦABC.è╬BCE is called an
èèèèèèèèèèèèèèèèèèèèèexterior angle ç ΦABC, sïce
èèèèèèèèèèèèèèèèèèèèèit forms a lïear pair with
èèèèèèèèèèèèèèèèèèèèèone ç ê ïterior angles ç
@fig3201.BMP,35,40,147,74èèèèèèèè ê triangle.è╬ACH is also an
exterior angle ç ΦABC, sïce it forms a lïear pair with one ç ê
ïterior angles ç ΦABC.è╬ECH is not an exterior angle ç ΦABC, sïce
it does not form a lïear pair with one ç ê ïterior angles çΦ ABC.
è ╬A å ╬B are remote ïterior angles ç ΦABC relative ë ╬BCE.èThey
are also remote ïterior angles relative ë ╬HCA.èEach triangle has
three ïterior angles å a ëtal ç six exterior angles.èEach exterior
angle has two remote ïterior angles.
1èèèèèèName two ïterior angles çΦABC.
èèèèèèèèèèèèèèèèèèèèèèèèèèèA) ╬PBQ å ╬RCS
èèèèèèèèèèèèèèèèèèèèèèèèèèèB) ╬BAC å ╬ACB
èèèèèèèèèèèèèèèèèèèèèèèèèèèC) ╬EAC å ╬SCA
èèèèèèèèèèèèèèèèèèèèèèèèèèèD) None
@fig3202.BMP,35,40,147,74èè
ü
èèèèèèè ╬BAC å ╬ACB are ïterior angles ç ΦABC.
Ç B
2èèèèèName two remote ïterior angles ç╬HAB.
èèèèèèèèèèèèèèèèèèèèèèèèèèèA) ╬A å ╬B
èèèèèèèèèèèèèèèèèèèèèèèèèèèB) ╬EAC å ╬ACS
èèèèèèèèèèèèèèèèèèèèèèèèèèèC) ╬ABC å ╬BCA
èèèèèèèèèèèèèèèèèèèèèèèèèèèD) None
@fig3202.BMP,35,40,147,74èè
ü
èèèè╬ABC å ╬BCA are remote ïterior angles relative ë ╬HAB.
Ç C
3èèWhich ç ê followïg is an exterior angle ç ΦABC?
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè A) ╬EAC
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè B) ╬HAE
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè C) ╬SCR
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè D) None
@fig3202.BMP,35,40,147,74èè
ü
èèèèèèèèè ╬EAC is an exterior angle ç ΦABC.
Ç A
4èèè Name an angle that is supplemental with ╬RCB.
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè A) ╬APB
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè B) ╬BCA
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè C) ╬HAE
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè D) None
@fig3202.BMP,35,40,147,74èè
ü
èèèèèèèèèè ╬BCA is supplemental with ╬RCB.
Ç B
5è ╬BAC å ╬ACB are remote ïterior angles relative ë ╬QBC.
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè A) True
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè B) False
èèèèèèèèèèèèèèèèèèèèèèèèèè
@fig3202.BMP,35,40,147,74èè
ü
èèèèèèèèèèèèèèèèèTrue
Ç A
6èèèèèè╬RCS å ╬ACB are vertical angles.
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè A) True
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè B) False
èèèèèèèèèèèèèèèèèèèèèèèèèè
@fig3202.BMP,35,40,147,74èè
ü
èèèèèèèèèèèèèèèèèTrue
Ç A
7èèèèèèèè╬PBQ is exterior ë ΦABC.
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè A) True
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè B) False
èèèèèèèèèèèèèèèèèèèèèèèèèè
@fig3202.BMP,35,40,147,74èè
ü
èèèèèèèèèèèèèèèèèFalse
Ç B
8è ╬ABC å ╬BCA are remote ïterior angles relative ë ╬HAB.
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè A) True
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè B) False
èèèèèèèèèèèèèèèèèèèèèèèèèè
@fig3202.BMP,35,40,147,74èè
ü
èèèèèèèèèèèèèèèèè True
Ç A
9èèèèèè ╬ABC å ╬QBC are supplementary.
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè A) True
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè B) False
èèèèèèèèèèèèèèèèèèèèèèèèèè
@fig3202.BMP,35,40,147,74èè
ü
èèèèèèèèèèèèèèèèè True
Ç A
10èèèèèèèm╬HAE + m╬PBQ + m╬RCS = 180°
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè A) True
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè
èèèèèèèèèèèèèèèèèèèèèèèèèèèèè B) False
èèèèèèèèèèèèèèèèèèèèèèèèèè
@fig3202.BMP,35,40,147,74èè
ü
èè
èèThese three angles are vertical angles ë ê three ïterior angles
ç ê triangle, å so êy are equal ë ê three ïterior angles.
The three ïterior angles add up ë 180°.
èèèèèèèèèèèèèèèèè True
Ç A