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Secant Angles and Secant – Tangent Angles

Secant Angles and Secant – Tangent Angles. A secant line intersects the circle at exactly two points. SECANT sounds like seconds. Case I: Vertex is ON the circle. ANGLE. ARC. ARC. ANGLE. Ex. 1 Find m 1. A. B. 1. 124 °. C. m  1 = 62 °. Ex. 2 Find m 1. 1. 84 °.

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Secant Angles and Secant – Tangent Angles

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  1. Secant Anglesand Secant – Tangent Angles

  2. A secant line intersects the circle at exactly two points. SECANT sounds like seconds

  3. Case I:Vertex is ON the circle ANGLE ARC ARC ANGLE

  4. Ex. 1 Find m1. A B 1 124° C m1 = 62°

  5. Ex. 2 Find m1. 1 84° m1 = 42°

  6. 108° Ex. 3 Find m1. 1 m1 = 126°

  7. Case II:Vertex is inside the circle A ARC B ANGLE D ARC C Looks like a PLUS sign!

  8. Ex. 4 Find m1. 93° A B 1 D C 113° m1 = 103°

  9. Ex. 5 Find mQT. mQT = 100° N Q 84° 92° M T

  10. Case III:Vertex is outside the circle C ANGLE small ARC A D LARGE ARC B LARGE ARC LARGE ARC small ARC ANGLE small ARC ANGLE

  11. Ex. 6 Find m1. 1 15° A D 65° B m1 = 25°

  12. Ex. 7 Find m AB. mQT = 16° A 27° 70° B

  13. Ex. 8 Find m1. 260° 1 m1 = 80°

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