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Mathematics

Using the given information, find the value of x in the following figure :

Using the given information, find the value of x in the figure. Circles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Circles

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Answer

From figure,

∠DAB = ∠BCD = 25° (∵ angles in same segment are equal)

In △DAP,

Exterior angle ∠CDA = ∠DAP + ∠DPA ….(i)

From figure,

∠DAP = ∠DAB = 25°.

Putting values in equation (i),

⇒ x° = 25° + 35°
⇒ x° = 60°.

Hence, the value of x = 60°.

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