Question

If the angle between two radii of a circle is 110º, then the angle between the tangents at the ends of the radii is
​

Answer 1

Answer:

If the angle between the two radii of circle is 110 degrees the angle between the tangent at the ends of these radii is - 8063112. ... two tangents= 360° so, 90°+90°+110°+angle between tangents=360 °

Please Follow Me And Mark Me Brainlist (Only If You Want To).

Answer 2

Given :- If the measure of angle between two radii of a circle is 110°, then the measure of angle between tangents at the outer end of radii is …………?

Solution :-

given that,

→ ∠AOB = 110° .

→ OA = OB = radius .

we know that,

• Radius is perpendicular to the tangent at the point of contact .
• sum of interior angles of a quadrilateral is 360° .

So,

→ ∠OAC = ∠OBC = 90° .

therefore,

→ ∠AOB + ∠OAC + ∠OBC + ∠ACB = 360° .

→ 110° + 90° + 90° + ∠ACB = 360°

→ 290° + ∠ACB = 360°

→ ∠ACB = 360° - 290°

→ ∠ACB = 70° (Ans.)

Hence, the measure of angle between tangents at the outer end of radii is 70° .

Learn more :-

In ABC, AD is angle bisector,

angle BAC = 111 and AB+BD=AC find the value of angle ACB=?

https://brainly.in/question/16655884