Math, asked by mohdmananshah, 7 months ago

The angle between two radii of a circle is 105°, the angle between the tangents at the ends of the radii is: The angle between two radii of a circle is 105°, the angle between the tangents at the ends of the radii is:

Answers

Answered by ghostcrusher
7

Answer:

not a prblm divya i am good in maths i will solve it♥️♥️

angle between tangents is 180-105=75°

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Answered by RvChaudharY50
0

Given :- If the measure of angle between two radii of a circle is 105°, then the measure of angle between tangents at the outer end of radii is …………?

Solution :-

given that,

→ ∠AOB = 105° .

→ 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° .

→ 105° + 90° + 90° + ∠ACB = 360°

→ 285° + ∠ACB = 360°

→ ∠ACB = 360° - 285°

→ ∠ACB = 75° (Ans.)

Hence, the measure of angle between tangents at the outer end of radii is 75° .

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

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