Hey there! How are you doing today?
When we are dealing with angles, it's imperative to know what measurements of angles are labeled.
There are three types of angles:
1.) Acute
2.) Right
3.) Obtuse
Let's define all three of these and then answer our question with the information given.
An acute angle is an angle that measures less than 90 degrees. An example of this is:
Ex1) A triangle has the angle measurements of 90, 45, and x. Solve for x.
Remember that the angles of a triangle must sum up to 180 degrees. To solve for x, we need to combine 90 and 45, then subtract the sum from 180.
90 + 45 = 135
180 - 135 = 45
The missing angle 'x' is 45 degrees, which is an acute angle since it measures less than 90 degrees.
Now let's move on to our second angle, the right angle. This is a pretty basic one and can be discovered without much observation or even work required.
A right angle measures 90 degrees exactly, no more and no less, and generally has a box in a corner of a geometrical figure.
Since we've covered both an acute and right angle, let's discuss what an obtuse angle is. An obtuse angle is an angle that measures more than 90 degrees. You can discover these angles in triangles, octagons, and other geometrical figures.
Now, let's review what we've learned and find our answer.
The question asks if an obtuse angle is larger than an acute angle.
Since we have learned an acute angle measures less than 90 degrees, and an obtuse angle measures more than 90 degrees, we can answer the question with:
An obtuse angle is larger than an acute angle.
I hope this helps, and feel free to comment any questions or concerns about this in the comment box below this answer.
Have a great day, Larissa!
