b 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.
