Mathematics
Using the given information, find the value of x in the following figure :
Circles
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Answer
Considering △ACB and △CDB,
∠CAB = ∠CDB = x° (∵ angles in same segment are equal.)
Considering △ACP,
∠CPB = ∠APD = 120° (∵ vertically opposite angles are equal.)
Since exterior angle in a triangle is equal to the sum of the opposite interior angles,
⇒ ∠CAP + ∠ACP = ∠APD
⇒ x° + 70° = 120°
⇒ x° = 120° - 70°
⇒ x° = 50°
Hence, the value of x = 50°.
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