Question Video: Choosing the Best Approximate Measure to the Given Angle Mathematics • 4th Grade

Choose the angle measure that best approximates π‘šβˆ π΄π΅πΆ. [A] 90Β° [B] 120Β° [C] 58Β°

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Video Transcript

Choose the angle measure that best approximates the measure of angle 𝐴𝐡𝐢. 90 degrees, 120 degrees, or 58 degrees.

Let’s think about what we know about angles. To help us approximate or make a sensible guess about the measure of angle 𝐴𝐡𝐢. We know that straight angles measure 180 degrees, and we know that right angles measure 90 degrees. We can see that angle 𝐴𝐡𝐢 measures less than 90 degrees. So, we can eliminate our first possible answer.

We also know that angles which measure more than 90 degrees are called obtuse angles. Our second possible answer is 120 degrees. This would be an obtuse angle. And we already know that the given angle measures less than 90 degrees. If the measure of angle 𝐴𝐡𝐢 is less than 90 degrees, we know it’s an acute angle. 58 degrees is less than 90 degrees. Angle 𝐴𝐡𝐢 is an acute angle. So, the angle measure that best approximates the measure of angle 𝐴𝐡𝐢 is 58 degrees.

We used our knowledge of the different types of angles to help us find the best approximate for the measure of angle 𝐴𝐡𝐢.

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