By the Inscribed Angle Theorem, the measure of an inscribed angle is half the measure of its intercepted arc.
C
c
By the Inscribed Angle Theorem, the measure of an inscribed angle is half the measure of its intercepted arc.
A
a
m ∠CBD = 70^(∘)
B
b
m ∠A = 50^(∘)
C
c
m ∠CBD = 2x
Practice makes perfect
a
Consider the given diagram.
We are told that m ∠A = 35^(∘). To find the m ∠CBD, we can use the Inscribed Angle Theorem. It states that the measure of an inscribed angle is half the measure of its intercepted arc.
Therefore, m ∠CBD = 70^(∘).
b
Consider the given diagram.
We are told that m ∠CBD = 100^(∘). To find the m ∠A, we can use the Inscribed Angle Theorem. It states that the measure of an inscribed angle is half the measure of its intercepted arc.
Therefore, m ∠A = 50^(∘).
c
Consider the given diagram.
We are told that m ∠A = x. To find the m ∠CBD, we can use the Inscribed Angle Theorem. It states that the measure of an inscribed angle is half the measure of its intercepted arc.
