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Maths-

General

Easy

Question

Prove that ∠YXZ ≅ ∠UWZ

hint Hint:

Use angle sum property

The correct answer is: Hence proved

Complete step by step solution:
Consider 2 triangles, △ XYZ and △ WUZ
From the figure, we have
XZ = WZ (given)
∠XZY = ∠WZU (given)
∠XYZ = ∠WUZ (given)
By angle sum property,
Now, ∠YXZ = 180° - (∠XZY + ∠XYZ)
∠UWZ = 180° - (∠WZU + ∠WUZ) = 180° - (∠XZY + ∠XYZ)
⇒ ∠YXZ = ∠UWZ
Hence proved

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