Which one of the following could represent the sum of an obtuse angle and a right angle?Select one:a.174ob.265oc.359od.101o
Question
Which one of the following could represent the sum of an obtuse angle and a right angle?
Select one:
- a. 174°
- b. 265°
- c. 359°
- d. 101°
Solution
The sum of an obtuse angle and a right angle can be represented by:
a. 174o
Here's why:
An obtuse angle is an angle greater than 90 degrees but less than 180 degrees. A right angle is exactly 90 degrees.
So, if you add the smallest possible obtuse angle (just over 90 degrees) to a right angle (90 degrees), the sum will be just over 180 degrees.
If you add the largest possible obtuse angle (just under 180 degrees) to a right angle (90 degrees), the sum will be just under 270 degrees.
Therefore, the only option that falls within this range is 174 degrees.
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