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Q.7 In ΔABC, AC = CD and
∠ACD = 64°. Find x and y.
B
C
A
D
x°
64°
y°
Soln: AC = CD
∴ ∠CAD = ∠CDA = y
In ΔACD :
64 + y + y = 180
2y = 116
y = 58°
∠ADB = 180 − 58 = 122°
In ΔABD : AD = BD
x + x + 122 = 180
2x = 58
x = 29°
Ans: x = 29° , y = 58°
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AC = CD (given)
Angle sum = 180°
y = 58°
ADB = 122°
AD = BD (isosceles)
x = 29°
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