Question

Please help ASAP! Is angle BAD less than, greater than, or equal to 90 degrees? Explain why. What about angle BCD?

Answer 1

Answer: I would say that it is equal to.

Step-by-step explanation: The angle in the bottom corner of the triangle is a right angle if you measure it with a protractor.

Answer 2

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Answer:

• ∠BAD < 90°
• ∠BCD > 90°

Explanation:

Angle BAD is an inscribed angle, so is half the measure of the arc it intercepts. Chord BD is on the far side of the circle's center from vertex A, so the arc intercepted by angle BAD is less than 180°. This means angle BAD is less than 180°/2 = 90°.

∠BAD < 90°

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Angles BAD and BCD are supplementary, so if one is less than 90°, the other must be greater than 90°.

∠BCD > 90°