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arcWXY is theintercepted arc.arcWXY = 70∘+72∘arcWXY = 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∘+60∘arcWXY = 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 = 180∘23+5x + 87 = 180∘5x + 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 = 180∘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: ∡F + ∡Y = 180∘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: 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 = ∘ |