## the angle between two radii of a circle is 130°. then the angle between the tangents at the end points of radius at their point of intersec

Question

the angle between two radii of a circle is 130°. then the angle between the tangents at the end points of radius at their point of intersection is​

in progress 0
3 months 2021-09-02T15:39:55+00:00 2 Answers 1 views 0

the answer is =180° – 130° = 50°.

Step-by-step explanation:

Hope it helps

50 degrees

Step-by-step explanation:

the sum of all angles in a four-sided shape is 360 degrees.

our four points here are :

the center of the circle

the 2 points on the circle, where the 2 tangents touch the circle

the intersection point of the tangents (where they cross each other).

at the 2 points, where radius meets tangent, we have a right angle or 90 degrees. so, they together take already 180 degrees.

the angle at the center of the circle is 130 degrees.

so, all that is left for the angle at the tangent intersection point is

360 – 180 – 130 = 50 degrees