Video Transcript
Choose the angle measure that best
approximates the measure of angle 𝐴𝐵𝐶. 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 𝐴𝐵𝐶. We know that straight angles
measure 180 degrees, and we know that right angles measure 90 degrees. We can see that angle 𝐴𝐵𝐶
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 𝐴𝐵𝐶 is
less than 90 degrees, we know it’s an acute angle. 58 degrees is less than 90
degrees. Angle 𝐴𝐵𝐶 is an acute angle. So, the angle measure that best
approximates the measure of angle 𝐴𝐵𝐶 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 𝐴𝐵𝐶.
