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The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.
Understanding Quadrilaterals
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07/08/2021 10:40 am
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The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.
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07/08/2021 10:42 am
y = 40° (alternate interior angle)
∠P = 70° (alternate interior angle)
∠P = ∠H = 70° (opposite angles of a parallelogram)
z = ∠H – 40°
= 70° – 40° = 30°
∠H + x = 180°
⇒ 70° + x = 180°
⇒ x = 180° – 70° = 110°
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