In a triangle, one angle is 60 degrees and another is 20 degrees. The remaining angle must be
A. RIght.
B. Acute.
C. Obtuse
D. Complementary
Yeah. The remaining angle is 100 degree which is obtuse
I think the awnser is C. obtuse
Thanks random
To find the answer to this question, we need to understand the sum of angles in a triangle. The sum of angles in any triangle always adds up to 180 degrees.
Given that one angle is 60 degrees and another angle is 20 degrees, we can find the measure of the remaining angle by subtracting the sum of the known angles from 180.
Sum of angles in a triangle = 180 degrees.
Angles given: 60 degrees + 20 degrees = 80 degrees.
Remaining angle = 180 degrees - 80 degrees = 100 degrees.
Now, we can determine the type of angle by its measure:
- A right angle is 90 degrees.
- An acute angle is less than 90 degrees.
- An obtuse angle is greater than 90 degrees.
- Complementary angles add up to 90 degrees.
Since the remaining angle measures 100 degrees, it is greater than 90 degrees, which means it is an obtuse angle. Therefore, the answer is C. Obtuse.