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Easy math problem, please help.

O is the center of the circle. Assume that lines that appear to tangent are tangent. What is the value of x?

A. 56
B. 62
C. 248
D. 304

Easy math problem please helpO is the center of the circle Assume that lines that appear to tangent are tangent What is the value of xA 56B 62C 248D 304 class=

Respuesta :

The answer would be a. 56

Answer:

Option A is correct that is x° = 56°

Step-by-step explanation:

Let Given Lines are tangents.

So we use a result which states that Tangents are perpendicular with radius at point of contacts.

⇒ ∠ B = ∠ D = 90°

Angle sum property of Quadrilateral = 360°

⇒ ∠A + ∠B + ∠O + ∠D = 360

x + 90 + 124 + 90 = 360

x + 304 = 360

x = 360 - 304

x = 56

Therefore, Option A is correct that is x° = 56°

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