Respuesta :

The answer is 290 the goal is to add up to 360 when to complete circle So just subtract 70 from 360

9514 1404 393

Answer:

  angle BAC = 35°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the arc it intercepts. Arc BC is 70°, so inscribed angle BAC is half that, or 70°/2 = 35°.

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In this geometry, you can find angle BAC a couple of ways.

Any triangle inscribed in a semicircle is a right triangle. That is, AB is a diameter, so angle ACB intercepts half the circle (180°). Half that measure is 90°. Then angles ABC and BAC are complementary:

  angle BAC = 90° -55° = 35°

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