Answer:
- b. secant
- c. 45°
- d. 35°
- d. 40°
Step-by-step explanation:
1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."
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2. The angle where chords cross is the average of the intercepted arcs:
(50° +40°)/2 = 45° . . . . measure of angle CSA
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3. The angle where secants or tangents meet is half the difference of the intercepted arcs.
(150° -80°)/2 = 35° . . . . measure of angle HEO
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4. The angle where secants or tangents meet is half the difference of the intercepted arcs.
(220° -140°)/2 = 40° . . . . measure of angle MAT
Please note that this is the supplement of arc MT between the tangents.