b. A central angle of 20 degrees
d. An inscribed angle of 10 degrees
Step-by-step explanation:
The complete question is
Which angles intercept a 20 degree arc in a circle? Select all that apply.
a. A central angle of 10 degrees
b. A central angle of 20 degrees
c. A central angle of 40 degrees
d. An inscribed angle of 10 degrees
e. An inscribed angle of 20 degrees
f. An inscribed angle of 40 degrees
Verify each case
case a. A central angle of 10 degrees
we know that
Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it'
so
A central angle of 10 degrees, intercept a 10 degree arc in a circle (by central angle)
case b. A central angle of 20 degrees
we know that
Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it'
so
A central angle of 20 degrees, intercept a 20 degree arc in a circle (by central angle)
case c. A central angle of 40 degrees
we know that
Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it'
so
A central angle of 40 degrees, intercept a 40 degree arc in a circle (by central angle)
case d. An inscribed angle of 10 degrees
we know that
The inscribed angle is half that of the arc it comprises
so
An inscribed angle of 10 degrees, intercept a 20 degree arc in a circle
case e. An inscribed angle of 20 degrees
we know that
The inscribed angle is half that of the arc it comprises
so
An inscribed angle of 20 degrees, intercept a 40 degree arc in a circle
case f. An inscribed angle of 40 degrees
we know that
The inscribed angle is half that of the arc it comprises
so
An inscribed angle of 40 degrees, intercept a 80 degree arc in a circle
