Question

ABCD IS PARALLELEOGRAM WITH ANGLE A=ANGLE CAND ANGLE B=ANGLE D. if angle A is twice Angle B find the measure of each angle if angle A is twice Angle B find the measure of each angle

Answer 1

Let Angle B be x
=> Angle D = x
=> Angle A = 2x
=> Angle C = 2x

We know that the sum of interior angles of a polygon is 360,
So,

$x \: + \: x \: + 2x \: + 2x = \: 360 \\ 6x \: = \: 360 \\ x \: = \: \: \frac{360}{6} \\ x \: = \: 60$
Therefore,
Angle A = 120°
Angle B = 60°
Angle C = 120°
Angle D = 60°

Answer 2

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