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I hope youre all having a great evening I am Mr Ace thank you for joining me were looking here at this angle problem where we have to find this angle X find angle X using only triangle or Circle properties so what were looking at when we have this specific representation here before us we have this angle X we have a circle what we are given is that this line which is extending here from the x-axis because we have a circle thats tucked away against the y-axis and the x-axis right over here its tangent to the x-axis here its tangent to the Y axis here its tangent that circle is tangent to that line and you remember that specific property where a line is tangent to a circle and then its connected by means of a radius to the center youre always generating a right angle and this here is the center of these lines emanating our radii and then you know you must have a right angle here you must have a right angle these tangent lines are perpendicular to the radius at these specific po