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42 votes
42 votes
Secants ⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. The measures of ⏜ and ⏜ are 112.54° and 26.32°, respectively.

Which of the following is ∠ ?

Secants ⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. The measures-example-1
User Sebastian Sommerfeld
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1 Answer

14 votes
14 votes

Answer:

C. 43.11°

Explanation:

The formula to use in finding m<BCD = ½ the difference of the intercepted arcs AE and BD

Thus:

m<BCD = ½(AE - BD)

m<BCD = ½(112.54 - 26.32)

m<BCD = ½(86.22)

m<BCD = 43.11°

User Mikescher
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3.4k points