Question

Can some one help me with this problem please?!

Answer 1

b. 25

Explanation:

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

`m\angle KLM = (1)/(2)(\overset{\frown}{KJM})\\</p><p>\therefore 4x° = (1)/(2)* (12x - 100)°\\</p><p>\therefore 4x° = (1)/(2)* 2(6x - 50)°\\</p><p>\therefore 4x° = (6x - 50)°\\</p><p>\therefore 4x° = 6x° - 50°\\</p><p>\therefore 50°= 6x° - 4x°\\</p><p>\therefore 50°= 2x°\\</p><p>\therefore 2x = 50\\</p><p>\therefore x = (50)/(2) \\ \huge \red{ \boxed{\therefore x = 25 }}`