Question

Can some one help me with this problem please?!

Answer 1

Answer:

b. 25

Step-by-step explanation:

By the property of intersecting secant and tangent at a point on the circle.

$m\angle KLM = \frac{1}{2}(\overset{\frown}{KJM})\\\therefore 4x° = \frac{1}{2}\times (12x - 100)°\\\therefore 4x° = \frac{1}{2}\times 2(6x - 50)°\\\therefore 4x° = (6x - 50)°\\\therefore 4x° = 6x° - 50°\\\therefore 50°= 6x° - 4x°\\\therefore 50°= 2x°\\\therefore 2x = 50\\\therefore x = \frac{50}{2} \\ \huge \red{ \boxed{\therefore x = 25 }}$