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devlian [24]
2 years ago
7

Solve for angle..........

Mathematics
1 answer:
Hatshy [7]2 years ago
7 0

Answer:

57

Step-by-step explanation:

An angle formed by a tangent and secant is equal to half the difference of its intercepted arcs. ( major arc minus minor arc to be more specific. )

∠B is the angle formed by a tangent and secant

Arc CA is its intercepted arc ( minor arc to be more specific )

Arc DA is also its intercepted arc ( major arc to be more specific )

Hence, ∠B = \frac{1}{2} ( Arc DA - Arc CA )

If arc CA = 51 and Arc DA = 165

Then ∠B =

\frac{1}{2} (165-51)\\165 - 51=114\\\frac{1}{2} (114)=57

Hence, ∠B = 57

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