EXERCISE 5A
1. In a triangle ABC, if AB = AC and angleA= 70°, find angleB and angleC.
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Answer:
Angle B = Angle C = 55°
Step-by-step explanation:
lf AC = AB,
Then Angle B = Angle C ---- (1)
Angle A + Angle B + Angle C = 180° ------ (2)
(Angle sum property)
From eq. (1) & (2)
70° + Angle B + Angle C = 180°
Angle B + Angle C = 110°
From eq (1)
Angle B + Angle B = 110°
2 Angle B = 110°
Angle B = 55°
Angle B = Angle C = 55°
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