in a parallelogram abcd the measure of angle is 120 find the measure of angle c and angle d
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Answer :
Angle C = 120° and angle D = 60°
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Answer:
angle b = angle d = 120 degree, angle c = angle a = 60 degree
Step-by-step explanation:
Assuming angle b is 120 degrees,
Angle d is also 120 degree, since opposite angles are equal in a parallelogram
Sum of interior angles of a parallelogram= 360 degree
Angle a= Angle c = x {constant}, since they are opposite angles
Therefore,
a + b + c + d = 360
x + x + 120 + 120 = 360
2x + 120 + 120 = 360
2x + 240= 360
2x = 360-240
2x = 120
x = 120/2
x = 60 degrees
Angles a and c measure 60 degrees each
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