PLEASE HELP!!!! I WILL GIVE BRAINLIEST ANSWER!!

O is the center of the given circle. The measure of angle O is 112 degrees. The diagram is not drawn to scale.

Assuming that lines that appear to be tangent are tangent what is the value of x?

A.292
B.124
C.68
D.56

PLEASE HELP I WILL GIVE BRAINLIEST ANSWER O is the center of the given circle The measure of angle O is 112 degrees The diagram is not drawn to scale Assuming t class=

Respuesta :

The correct answer is d.

Answer:

The correct option is C. 68°  

Step-by-step explanation:

The measure of angle O is given to be 112°

⇒ m∠O = 112°

Also, The tangents are always perpendicular to the radius of the circle

⇒ Sum of the angle at the centre and angle made by the corresponding radius and tangent is supplementary

⇒ m∠O + x = 180°

⇒ 112° + x = 180°

⇒ x = 180° - 112°

⇒ x = 68°

Therefore, The correct option is C. 68°

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