Question

find the value of x,y in the following diagram

Answer 1

Here's your Answer

1. As we Know Vertically Opposite Angles are Equal.

∴ x = 60°

and y can be Found Using Angle Sum Property

∴ 180° - (30 + 60)°

= 90°

∵ x = 60° and y = 90°

2. y = 90° (Vertically Opposite Angles are Equal)

x can be found using Algebra and Angles sum property

2x = 180° - 90°

2x = 90°

x = 45°

∴ y = 90° and x = 45°.

3. Here all Vertically Opposite  Angles and equal.

∴ All Interior must be Equal

∵ 3x = 180°

x = 180/3°

x = 60°

∴ x = 60°

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