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3 years ago

Given: circle k(O), mAB =(6x−50)°, m∠BCA=(2x)° Find: m∠BAC

Mathematics

1 answer:

natulia [17]3 years ago

5 0

Answer:

40°

Step-by-step explanation:

arc AB has twice the measure of the inscribed angle BCA that intercepts it, so we have the relation ...

(6x-50)° = 2(2x)°

2x -50 = 0

2x = 50

So, angle BCA has measure 50°. Since AC is a diameter, angles BCA and BAC are complementary. Thus ...

m∠BAC = 90° - m∠BCA = 90° - 50°

m∠BAC = 40°

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option-A

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