Circle Angles Vertex at Center and on the Circle

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

• 150°

• 100°

• 210°

• 105°

In a circle (or congruent circles), the measure of an arc is:

• equal to half of the measure of its corresponding central angle

• equal to the measure of its corresponding central angle

• equal to the measure of its circle's radii

• only calculated by taking the square root of dragon taxis

A tangent line intersecting with a radius always creates a ____________ angle

• right

• acute

• obtuse

• straight

Find the value of the angle marked x....

• 40

• 45

• 50

• 60

Tags

CCSS.HSG.C.A.2

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.A.2

Find the value of x.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.A.2

Think about if the angles are equal or if they add up to 180. Solve for x. Plug it in.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.A.2

What is the m∠ADB?

• 16^o

• 32^o

• 64^o

• 14^o

Tags

CCSS.HSG.C.A.2

What is the measure of ∠PTQ?

• 100°

• 140°

• 180°

• 120°

Tags

CCSS.HSG.C.A.2

An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are shords of the circle.

• right angle

• acute angle

• inscribed angle

• intercepted angle

Tags

CCSS.HSG.C.A.2