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The diagram shows a circle, centre
O
.
Points
A
,
B
,
C
and
D
lie on the circumference of the circle.
E
D
F
is a tangent to the circle.
Angle
A
B
C
=
82
∘
and angle
O
D
C
=
57
∘
.

The diagram shows a circle centre O Points A B C and D lie on the circumference of the circle E D F is a tangent to the circle Angle A B C 82 and angle O D C 57 class=

Respuesta :

raphealnwobi

The value of x as shown in the circle with center O is 66°

Circle

Circle is the locus of a point such that all points on the plane is equidistant from a fixed point known as the center.

Using the image attached:

Triangle ODC is an isosceles triangle because OC = OD (radius), hence:

∠ODC = ∠OCD = 57° (isosceles triangle)

∠OCD + ∠ODC + ∠DOC = 180° (sum of angles in a triangle)

57 + 57 + x = 180

x = 66°

The value of x as shown in the circle with center O is 66°

Find out more on Circle at: https://brainly.com/question/22965557

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