If the circles have the same radius then an infinite number, and if they do not, then none.
The angle between the two tangents is 20 degrees.
100 degrees
Only one which is a tangent to that circle.
63o. Join the points where the tangents touch the circle to its centre to form a quadrilateral (two meeting tangents and two radii). These angles are both 90o, summing to 180o. Thus the other two angles - the one at the centre of the circle and the one where the tangents meet - sum to 360o - 180o = 180o (they are supplementary). The centre angle is given as 117o (the minor arc), so the angle where the tangents met is 180o - 117o = 63o.
if you mean common tangents there can be only 2 tangents
2
The answer is four. Wish I could draw a picture.
If the circles have the same radius then an infinite number, and if they do not, then none.
The angle between the two tangents is 20 degrees.
Two tangents can be drawn from a point outside a circle to the circle. The answer for other curves depends on the curve.
100 degrees
An infinite amount
No tangent No tangent
Only one which is a tangent to that circle.
63o. Join the points where the tangents touch the circle to its centre to form a quadrilateral (two meeting tangents and two radii). These angles are both 90o, summing to 180o. Thus the other two angles - the one at the centre of the circle and the one where the tangents meet - sum to 360o - 180o = 180o (they are supplementary). The centre angle is given as 117o (the minor arc), so the angle where the tangents met is 180o - 117o = 63o.
A compass.