Question

.Find x, y, z in the given parallelogram ABCD.​

Answer 1

Answer:

x = 25

y = 45

z = 110

Step-by-step explanation:

Since ABCD is a parallelogram

∴ ∠45 = y (Alternate angles)

⇒ ∠ABC = 180 - ∠CBE (Linear pair)

∴ ∠ABC = 180 - 70 = 110

∴ ∠z = ∠ABC = 110 (Opposite angles)

Now in Δ ABC

∠x + ∠y + ∠ABC = 180 (Angle sum property)

⇒ ∠x + 45 + 110 = 180

⇒ ∠x = 180 - 155 = 25

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