Question

3. Find MZADB 4. Find mzABD 5. Find mZAFE 6. Find mZACE

Answer 1

9514 1404 393

Answer:

  3. 41°

  4. 90°

  5. 70°

  6. 31°

Step-by-step explanation:

The relevant relationships are ...

• a semicircle measures 180°
• an inscribed angle is half the measure of the intercepted arc
• the angle where tangents meet is the supplement of the intercepted arc
• the angle where secants meet is half the difference of the intercepted arcs

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3. ∠ADB = 1/2 arc AB = 82°/2 = 41°

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4. ∠ABD = 1/2 arc AED = 180°/2 = 90°

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5. ∠AFE = 180° -arc AE = 180° -(180° -70°) = 70°

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6. ∠ACE = 1/2(arc AE -48°) = 1/2(110° -48°) = 62°/2 = 31°