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65 Angle Relationships in Circles Notes Diagram(s) 1 2 X Formula M²1=x centra Central <= arc |m² 3 = 2/1/² Inscribed angle = half the arc Location of Vertex Center On Name/How Formed Central Angle - formed by two radii Tangent-Chord Angle - formed by a tangent and a chord at the point of tangency Inscribed Angle - Formed by two chords that intersect at a point on the circle. Find mGH 65° 65⁰ 52°1 52 180 -122 58 Examples 52 63° K 1116° 63 Find m/EFH. 5 Find mFG 116° E 122° 130° H 65 Angle Relationships in Circles Notes Diagram(s) 3 B $ Formula M²1 = x+y 2 arctarc Inside 2 same for m²2 M²4 = x-X 2 Location of Vertex big-small 2 Outside Name/How Formed Chord-Chord Angle Formed by two chords intersecting Tangent-Secant Angle - formed by a tangent and a secant at a point outside the circle. Tangent-Tangent Angle - formed by two tangents that intersect at a point outside the circle. Secant-Secant Angle - Formed by two secants that intersect at a point outside the circle. Find m/RTS R 100° XT S Examples (4x + 4)º 100+160 260 2 160° Find the value of x. 50⁰ 130 H (x+ 25)° 4x+4-50 2 4x-46 =(x+25)2 X+25 4x-46=2X+50 2X-46-50 2x=96 X= 48 65 Angle Relationships in Circles Notes Example 1: Two of the six muscles that control eye movement are attached to the eyeball and intersect behind the eye. If mAEB=225°, find m2ACB. 360 -225 135 225 E. (11x + 2) A I 135 1 B Example 2: An observer watches people riding a Ferris wheel that has 12 equally spaced cars. Find x. = 30° 90° Example 3: Find the value of x. Superior oblique Inferior oblique 89 150° 89(2)=11 225-135 = 90 = 45° 2 5/4 150-90 = 600 = 30° 을 2 Example 3 Find the value of x. (4x + 5) 50° (x+25)° 4x+ Angle Relationships in Circles Notes Example 5 Find the value of (2x + 1) (2x-37⁰ Example Find the measure of 21. 250 NO 360 -250 110 8 250-110 2 140 = =...
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Alternative transcript:
70° Example find mAB 75° 40° B 80° Example Find the measure of 21. A +70° 75° 70° 40+70+80=190 360 -190 170 80+170 250 -250 2 125°
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65 Angle Relationships in Circles Notes Diagram(s) 1 2 X Formula M²1=x centra Central <= arc |m² 3 = 2/1/² Inscribed angle = half the arc Location of Vertex Center On Name/How Formed Central Angle - formed by two radii Tangent-Chord Angle - formed by a tangent and a chord at the point of tangency Inscribed Angle - Formed by two chords that intersect at a point on the circle. Find mGH 65° 65⁰ 52°1 52 180 -122 58 Examples 52 63° K 1116° 63 Find m/EFH. 5 Find mFG 116° E 122° 130° H 65 Angle Relationships in Circles Notes Diagram(s) 3 B $ Formula M²1 = x+y 2 arctarc Inside 2 same for m²2 M²4 = x-X 2 Location of Vertex big-small 2 Outside Name/How Formed Chord-Chord Angle Formed by two chords intersecting Tangent-Secant Angle - formed by a tangent and a secant at a point outside the circle. Tangent-Tangent Angle - formed by two tangents that intersect at a point outside the circle. Secant-Secant Angle - Formed by two secants that intersect at a point outside the circle. Find m/RTS R 100° XT S Examples (4x + 4)º 100+160 260 2 160° Find the value of x. 50⁰ 130 H (x+ 25)° 4x+4-50 2 4x-46 =(x+25)2 X+25 4x-46=2X+50 2X-46-50 2x=96 X= 48 65 Angle Relationships in Circles Notes Example 1: Two of the six muscles that control eye movement are attached to the eyeball and intersect behind the eye. If mAEB=225°, find m2ACB. 360 -225 135 225 E. (11x + 2) A I 135 1 B Example 2: An observer watches people riding a Ferris wheel that has 12 equally spaced cars. Find x. = 30° 90° Example 3: Find the value of x. Superior oblique Inferior oblique 89 150° 89(2)=11 225-135 = 90 = 45° 2 5/4 150-90 = 600 = 30° 을 2 Example 3 Find the value of x. (4x + 5) 50° (x+25)° 4x+ Angle Relationships in Circles Notes Example 5 Find the value of (2x + 1) (2x-37⁰ Example Find the measure of 21. 250 NO 360 -250 110 8 250-110 2 140 = =...
65 Angle Relationships in Circles Notes Diagram(s) 1 2 X Formula M²1=x centra Central <= arc |m² 3 = 2/1/² Inscribed angle = half the arc Location of Vertex Center On Name/How Formed Central Angle - formed by two radii Tangent-Chord Angle - formed by a tangent and a chord at the point of tangency Inscribed Angle - Formed by two chords that intersect at a point on the circle. Find mGH 65° 65⁰ 52°1 52 180 -122 58 Examples 52 63° K 1116° 63 Find m/EFH. 5 Find mFG 116° E 122° 130° H 65 Angle Relationships in Circles Notes Diagram(s) 3 B $ Formula M²1 = x+y 2 arctarc Inside 2 same for m²2 M²4 = x-X 2 Location of Vertex big-small 2 Outside Name/How Formed Chord-Chord Angle Formed by two chords intersecting Tangent-Secant Angle - formed by a tangent and a secant at a point outside the circle. Tangent-Tangent Angle - formed by two tangents that intersect at a point outside the circle. Secant-Secant Angle - Formed by two secants that intersect at a point outside the circle. Find m/RTS R 100° XT S Examples (4x + 4)º 100+160 260 2 160° Find the value of x. 50⁰ 130 H (x+ 25)° 4x+4-50 2 4x-46 =(x+25)2 X+25 4x-46=2X+50 2X-46-50 2x=96 X= 48 65 Angle Relationships in Circles Notes Example 1: Two of the six muscles that control eye movement are attached to the eyeball and intersect behind the eye. If mAEB=225°, find m2ACB. 360 -225 135 225 E. (11x + 2) A I 135 1 B Example 2: An observer watches people riding a Ferris wheel that has 12 equally spaced cars. Find x. = 30° 90° Example 3: Find the value of x. Superior oblique Inferior oblique 89 150° 89(2)=11 225-135 = 90 = 45° 2 5/4 150-90 = 600 = 30° 을 2 Example 3 Find the value of x. (4x + 5) 50° (x+25)° 4x+ Angle Relationships in Circles Notes Example 5 Find the value of (2x + 1) (2x-37⁰ Example Find the measure of 21. 250 NO 360 -250 110 8 250-110 2 140 = =...
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Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
70° Example find mAB 75° 40° B 80° Example Find the measure of 21. A +70° 75° 70° 40+70+80=190 360 -190 170 80+170 250 -250 2 125°