Answer this and get 50 points.

As shown in picture, the circle is divided into 2 arcs, one of them is 142 deg.

Then the other one A is 360 - 142 = 218 deg (property of sum of all arcs on circle).

As the property of angle created by a tangent line:

x = (1/2) x arc A = (1/2) x 218 = 109 deg

Hope this helps!

:)

109°

Step-by-step explanation:

Consider an isosceles triangle by joining the end points of tye chord to the centre

Base angles of the traingle:

(180 - 142)/2 = 19

The edge of the triangle makes 90° with the circumference

Angle x = 19 + 90 = 109°

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi