Question

If the angle between the two radii of circle is 110 degrees the angle between the tangent at the ends of these radii is

Answer 1

HEY MATE!

HERE IS YOUR ANSWER

STEP BY STEP EXPLANATION:

Angle between radii=110°
Angle between radii and tangent=90° {the tangent is perpendicular to the radius through the point of contact}

Now, the radii and the tangents form a quadrilateral

Hence, angle between two tangents and radii+angle between two radii+angle between two tangents=360°

so, 90°+90°+110°+angle between tangents=360°
290°+angle between tangents =360°
angle between tangents=360°-290°

angle between tangents =70°

HOPE IT HELPED ^_^

Answer 2

Given:

The angle between the two radii of the circle is 110 degrees

To find:

The angle between the tangent at the ends of these radii

Solution:

The angle between the tangent at the ends of these radii is 70°.

We can find the angle by following the given steps-

We know that the tangents meeting the radius at the circumference are perpendicular to the radius.

So, the two tangents and radii for a quadrilateral.

The sum of all the angles of a quadrilateral is 360°.

The angle between the two radii=110°

The angle between the radius and tangents=90° each

Let the angle formed between the tangent and ends of this radii be X.

The sum of all these angles=360°

The angle between two radii+ angles between radii and tangents+ angle between the tangent and ends of the radii=360°

110°+90°+90°+X=360°

290°+X=360°

X=360°-290°

X=70°

Therefore, the angle between the tangent at the ends of these radii is 70°.