Question

Q.4 In the given figure, ABCD is a parallelogram. Find x, y and z
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Answer 1

Angle BAD + Angle ADC = 180°

125° + x = 180°

x = 180° - 125°

x = 55°

Angle BAD = Angle BCD (opposite angles of parallelogram are equal)

Angle BCE + Angle ECD = Angle BCD

Therefore,

Angle BAD = Angle BCE + Angle ECD

125° = 56° + y

125° - 56° = y

69° = y

y = 96°

Angle BAD + Angle ADC + Angle DCE +Angle CEA = 360° ( Angle sum property of quadrilateral)

125° + 55° + 96° + z = 360°

276° + z = 360°

z = 360° - 276°

z = 84°

Answer 2

Answer: x= 55 degree

Y= 69 degree

Z= 111 degree

Step-by-step explanation:

X= 180 -125

=55 degree

Y=125-56

=69 degree

Z= 180-69

=111 degree

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