Angle Relationship Arc

What is the Angle Relationship? 

• Alternate Interior

• Alternate Exterior

• Corresponding

• Same Side Interior

Solve for y.

• y = 20

• y = 120

• y = 60

• y = 10

Which of the following statements about the relationship between angle 4 and 3 is NOT TRUE

• They are supplementary

• They are on the same side of the transversal
  

• They are between the parallel lines

• They are same-side exterior angles

• None, all of these statements are true

What is the value of "x"?

• 19

• 20

• 21

• 22

Choose the equation that correctly represents the relationship between the angle and intercepted arc.

• 9x+1=64

• 2(9x+1)=64

• 9x+1=32

• 9x+1=128

What is the relationship between the central angle and the arc it subtends?

• The central angle is half the measure of the arc.

• The central angle is twice the measure of the arc.

• The central angle has the same measure as the arc.

• There is no specific relationship.

Answer explanation

The central angle has the same measure as the arc.

Use the relationship between an inscribed angle and its arc to solve for x.

• x = 2

• x = 4

• x = 6

• x = 8

Given circle O, if arcs AB and BC are congruent, what is the measure of angle BOC?

In a circle, if an inscribed angle measures 30 degrees, what is the measure of the arc it subtends?

• 30 degrees

• 60 degrees

• 120 degrees

• 180 degrees

Answer explanation

The measure of the arc subtended by an inscribed angle is twice the measure of the angle itself. Therefore, the arc measures 60 degrees (2 * 30 degrees).

If two arcs in a circle are congruent, what can be said about their corresponding central angles?

• They are supplementary.

• They are congruent.

• They are complementary.

• They are not necessarily equal.

Answer explanation

The central angles of congruent arcs in a circle are also congruent.