find x and y in the parallelograms
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x = 80°, and y = 100°.
Step-by-step explanation:
As it is a parallelogram, AB || CD and AC || BD.
∠ACD = 80° (Alternate Interior angles are equal, AB || CD, AC transversal)
∠ACD + y° = 180° (Linear pair on straight line AC)
y° = 180° – ∠ ACD
y° = 180° – 80°
y° = 100°
∠ABD = x° (VOA)
x° = 80° (Corresponding angles, AC || BD, AB transversal)
Therefore, x = 80°, and y = 100°.
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