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Question

Calculate the angle X and angle Y value in the given figure?


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Solution

Determine the unknown angles.

The figure has two equal adjacent sides.

So, the figure is a kite.

The diagonals of the kite bisect the angles of the kite.

Since AD is diagonal, it bisects the angles ∠BDCand∠BAC.

Find the value of X:

∠CAD=∠BAD⇒X=37°

Find the value of Y:

∠CDA=∠BDA⇒Y=70°

Value of angle X and angle Y are 37°and70°respectively


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