Answer:
The correct option is C. Could be any of these
Step-by-step explanation:
Given that : Two angles of a triangle are acute.
We need to find the nature of the third angle.
A. must be right
This could be possible if both the two acute angles are of 45°. Then the third angle will be 90°.
So, this case is possible.
B. Must be obtuse
If the two acute angles are : 20° and 30°
Then the third angle will be 130° which is an obtuse angle.
So, this case is also possible.
D. Must be acute.
If the two acute angles are : 70° and 80°
Then the third angle will be 30° which is an acute angle.
This case is also possible.
C. Could be any of these
Since, All the given cases can be possible. So, the third angle could be right , obtuse or acute.
Therefore, The correct option is C. Could be any of these
