∠CAE = 120°
∠CAD = 60°
∠BAE = 180°
∠DEC = 30°
We start out with the fact that points C and D split the semicircle into 3 sections. This means that ∠BAC, ∠CAD and ∠DAE are all 60° (180/3 = 60).
Since it forms a straight line, ∠BAE is 180°.
Since it is formed by ∠CAD and ∠DAE, ∠CAE = 60+60 = 120°.
We know that an inscribed angle is 1/2 of the corresponding arc; since CD is 1/3 of the circle, it is 1/3(180) = 60; and this means that ∠DEC = 30°.
Answer: m∠ABC = m∠CED; Corresponding Angles Theorem
Step-by-step explanation:
i took the test
Answer:
(D)
Step-by-step explanation:
Angles 2 & 6 are called corresponding angles in the diagram and they are congruent if the lines c & d are parallel. Since they are, that means lines c & d are parallel.
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