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Answers
9.
(a) AED, DEC, CEB, BEA
(b) BAD, ADC, DCB, CBA
10.
(a) Yes, for example 30°(acute) + 30°(acute) = 60°(acute)
(b) Yes, for example 45°(acute) + 45°(acute) = 90°(right angle)
(c) Yes, for example 45°(acute) + 55°(acute) = 100°(obtuse angle)
(d) No, because the sum of angles below 90 degrees can't sum up to 180°(straight angle).
(e) No, because the sum of angles below 90 degrees can't sum up to More than 180°(reflex angle).
11.
(a) Yes, for example 100°(obtuse) + 100°(obtuse) = 200°(reflex angle)
(b) No, because the sum of angles between 90 to 180 degrees can't sum up to 360°(complete angle).
12.
(a) A, B, C, D, E, F
(b) AB, BC, AC, DF, EF, DE, BD, AE, CF
(c) BDFC, BAED, CAEF, DEF, ABC
Answer:
9 a. angle AEB
angle BEC
angle CED
angle DEA
b. angle ABC and angle BCD
10. a Yes we can have. eg 23°+10°=33°
b Yes we can have. eg 45°+45°=90°
c Yes we can have. eg 80°+30°=110°
d No we can't have because if we add the acute angle with the highest measure i.e. 89° we get 178° that is not straight angle.
e No we can't have because if we add the acute angle with the highest measure i.e. 89° we get 178° that is not reflex angle.
11. a Yes we can. eg 180°+90°=270°
b No we can't have because if we add the acute angle with the highest measure i.e. 179° we get 358° that is not complete angle.
12. a A,B,C,D,E and F
b AB,BC,AC,DE,EF,DF,AE,BD,CF
c ABC,DEF,ABDE,BCFD,ACFE.