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Answer:
A)x=35 y=45
B)x=65 y=110
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Answered by
1
Step-by-step explanation:
A) solutions -
In ∆BAC
angle ABC = 65°
angle BAC = X°
and exterior Angle = angle ACD = 100°
So,
ACD = ABC + BAC
100 = 65+x
x = 100-65
x = 35°
given, angle BAC = CAD
So, CAD = 35°
now
sum of all angle of triangle = 180°
180° = 100+35+y
y = 180 - 135
y = 45°
Hence x = 35°
y = 45°
B) solutions -
angle BAC + angle ABC = ACD
35+30 = x
x = 65°
now
angle ACD + angle CDE = DEA
65+45 = Y
y = 110
Hence
x = 65°
y = 110°
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