An angle of parallelogram 20less than its adjacent angle find the measure of all its angle
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Heya...
Properties of a parallelogram
The sum of a parallelogram = 360°
Opposite angles are equal
Let the angle A = x
Let angle B = x-20
A+B = 180° (linear pair)
x+x-20= 180°
2x-20=180°
2x= 180+20
2x= 200
x= 200/2
x= 100°
Therefore,
Angle A = x = 100°
Angle C = 100° (as opposite angles are equal)
Angle B = x-20 = 100-20 = 80°
Angle D = 80° ( as opposite angles are equal)
Properties of a parallelogram
The sum of a parallelogram = 360°
Opposite angles are equal
Let the angle A = x
Let angle B = x-20
A+B = 180° (linear pair)
x+x-20= 180°
2x-20=180°
2x= 180+20
2x= 200
x= 200/2
x= 100°
Therefore,
Angle A = x = 100°
Angle C = 100° (as opposite angles are equal)
Angle B = x-20 = 100-20 = 80°
Angle D = 80° ( as opposite angles are equal)
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