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2 years ago

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

Mathematics

1 answer:

kvv77 [185]2 years ago

7 0

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

3. ∠ADB = 1/2 arc AB = 82°/2 = 41°

4. ∠ABD = 1/2 arc AED = 180°/2 = 90°

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

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

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