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In the above figure, x + 20 + x + 30 = 180° (Linear pair property)
⇒ x + 20 + x + 30 = 180° (Linear pair property)
⇒ 2x + 50 = 180°
⇒ 2x = 180° - 50°
⇒ 2x = 130°
⇒ x = 130°/2
⇒ x = 65°
∴ x = 65°
Now that we know the value of x, we can find the value of the angles
⇒ x + 20 = 65 + 20 = 85°
⇒ x + 30 = 65 + 30 = 95°
Now, ∠y = 95° (opposite angle property)
And, ∠ z = 85° (opposite angle property)
∴ x = 65
∴ ∠y = 95°
∴ ∠z = 85°
Hope it helps you!!
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