Question

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

Answer 1

The answer would be a. 56

Answer 2

Option A is correct that is x° = 56°

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°