
(a)
Find the measure of each inscribed
(a)

Answer to Problem 36PPS
Explanation of Solution
Given :
All the inscribed angles are congruent.
Calculation:
If each inscribed angle is congruent, then each arc is also congruent , since the measure of inscribed angle is half the measure of the intercepted arc.
Since the measure of whole
So, marc =
Since the measure of inscribed angle is half the measure of intercepted arc, by Inscribed Angle Theorem, so,
measure of each inscribed angle =
(b)
Find the measure of each inscribed angle.
(b)

Answer to Problem 36PPS
Explanation of Solution
Given :
All the inscribed angles are congruent.
Calculation:
If each inscribed angle is congruent, then each arc is also congruent , since the measure of inscribed angle is half the measure of the intercepted arc.
Since the measure of whole circle is
So, marc =
Since the measure of inscribed angle is half the measure of intercepted arc and the given inscribed angle is formed by adding two equal arcs , by Inscribed Angle Theorem, so,
measure of each inscribed angle =
(c)
Find the measure of each inscribed angle.
(c)

Answer to Problem 36PPS
Explanation of Solution
Given :
All the inscribed angles are congruent.
Calculation:
If each inscribed angle is congruent, then each arc is also congruent , since the measure of inscribed angle is half the measure of the intercepted arc.
Since the measure of whole circle is
So, marc =
Since the measure of inscribed angle is half the measure of intercepted arc, by Inscribed Angle Theorem, so,
measure of each inscribed angle =
(d)
Find the measure of each inscribed angle.
(d)

Answer to Problem 36PPS
Explanation of Solution
Given :
All the inscribed angles are congruent.
Calculation:
If each inscribed angle is congruent, then each arc is also congruent , since the measure of inscribed angle is half the measure of the intercepted arc.
Since the measure of whole circle is
So, marc =
Since the measure of inscribed angle is half the measure of intercepted arc and the given inscribed angle is formed by adding two equal arcs , by Inscribed Angle Theorem, so,
measure of each inscribed angle =
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning

