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When you bisect an obtuse angle, it divi...

When you bisect an obtuse angle, it divides the angle in two ____

A

Acute angles

B

Obtuse angles

C

Right angles

D

None of these

Text Solution

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The correct Answer is:
To solve the question "When you bisect an obtuse angle, it divides the angle into ____," we will follow these steps: ### Step-by-Step Solution: 1. **Understanding Obtuse Angles**: - An obtuse angle is defined as an angle that measures more than 90 degrees but less than 180 degrees. For example, an angle of 120 degrees is obtuse. 2. **Bisection of the Angle**: - When we bisect an angle, we divide it into two equal parts. For instance, if we take an obtuse angle of 120 degrees, bisecting it means we will split it into two angles of equal measure. 3. **Calculating the Bisected Angles**: - To find the measure of each angle after bisection, we take the original angle and divide it by 2. - For our example, 120 degrees divided by 2 equals 60 degrees. 4. **Identifying the Type of Angles**: - The resulting angles from the bisection (in this case, 60 degrees) need to be classified. - An angle that measures less than 90 degrees is classified as an acute angle. 5. **Conclusion**: - Therefore, when you bisect an obtuse angle, it divides the angle into two acute angles. ### Final Answer: When you bisect an obtuse angle, it divides the angle into **acute angles**. ---
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