Question

To construct a pair of tangents to a circle at an angle of 60° to each other, it is needed to draw tangents at
endpoints of those two radii of the circle, the angle between them should be:
(a)100
(b)90
(c)180
(d)120
(descriptive question)​

Answer 1

Answer:

$\huge\mathcal{\green{Hola!}}$

$\huge\mathfrak{\red{Answer}}$

$\huge\fbox{\purple{d) \ 120°}}$

Step-by-step explanation:

Given:-

• Angle between the tangents is 60°

To find:-

• Angle between the radii

Solution:-

Given / QPR = 60°

$\huge\mathcal{\green{Also}}$

we know that the tangents to a circle are always | to the radius of the circle

$\huge\mathcal{\green{Therefore,}}$

/ Q = 90°

$\huge\mathcal{\green{And}}$

/ R = 90°

In quadrilateral PQOR

60° + 90° + 90° + / O = 360°

[ Sum of all angles of a quadrilateral is 360°]

=> / O = 120°

$\huge\mathcal{\green{All \ the \ very \ best!}}$

$\huge\mathfrak{\red{@MissTranquil}}$

$\huge\fbox{\orange{be \ brainly}}$

Answer 2

Answer:

angle o is=120 degree good morning ma'am