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If the angle between two radii of a circle is 110 degrees, then what is the angle between the tangents at the ends of the radii?

Answer :

The angle between the tangents at the ends of the radii is 180 - 110 = 70 degrees.

The angle between the tangents at the ends of the radii of a circle,

when the angle between the radii is 110 degrees, can be determined using the property of the tangents being perpendicular to the radii at the points of contact.

Let's consider a circle with two radii originating from the center of the circle.

The angle between the radii is given as 110 degrees.

Since the tangents are perpendicular to the radii,

we can visualize a quadrilateral formed by the two radii and the two tangents.

In this quadrilateral,

the sum of all angles is 360 degrees.

The opposite angles in a quadrilateral are supplementary,

meaning they add up to 180 degrees.

The angle between the tangents at the ends of the radii can be found by subtracting the given angle between the radii from 180 degrees.

Learn more about quadrilateral here:

https://brainly.com/question/3642328

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