Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?

  π/2

Step-by-step explanation:

There are 2π radians in a circle, so 1/4 of that is (2π)/4 = π/2 radians.

The central angle of a quarter-circle is π/2 radians.

the answer would be c:   ax + b = ax + c

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180