Inscribed Angles
arcWXY is theintercepted arc.arcWXY = 70+72arcWXY = 142
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Inscribed Angles
∡M is the
inscribed angle
Solving for ? (∡M):arcWXY = 70 + 72 = 142∡M = ½(arcWXY)∡M = ½(142)∡M = 71
∡M=
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Inscribed Angles
∡V=
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Inscribed Angles
arcFED=
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Inscribed Angles
∡E=
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Inscribed Angles
∡H=
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Inscribed Angles
arcYX=
arcPNM is theintercepted arc of ∡LarcPNM = 114+60arcWXY = 174
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Inscribed Angles
Solving for ∡L:∡L = ½•arcPNM∡L =½•174 = 87
Solving for x:
∡N+∡L = 18023+5x + 87 = 1805x + 110 =   180     - 110    - 110
x =
5x = 70
5
x = 14
5
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Inscribed Angles
Getting you started: arcQRS = 150∘ ∡H = ½•arcQRS
Substitute and sove for x.
x =
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Inscribed Angles
Getting you started: ∡S + ∡W = 180Substitute and sove for x.
x =
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Inscribed Angles
Getting you started: ∡F + ∡Y = 180Substitute and sove for x.
x =
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Inscribed Angles
Getting you started: arcEQR = 19x+82 ∡S = ½•arcEQR(actually: 2•∡S = arcEQR is easierto solve)
Substitute and sove for x.
x =
This is to serve as a brief description of the properties of inscribed
angles and their relationship to central angles and arc measure.
Properties of inscribed quadrilaterals: Opposite angles are supplementary.
                                                (∡X+∡M=180 and ∡W+∡Y=180)
Properties of inscribed angles: An inscribed angle is half the measure of the central angle.
 It is also half the measure of the intercepted arc.
Inscribed Angles
Getting you started: arcXYZ = 136∘ ∡E = ½•arcXYZ
Substitute and sove for x.
x =
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