Question

Select the correct set of angles that can form a triangle.

• A. ${44}^o$, ${44}^o$, and ${112}^o$
• B. ${65}^o$, ${85}^o$, and ${45}^o$
• C. ${45}^o$, ${45}^o$, and ${90}^o$
• D. None of the above

Answer 1

The correct option is C ${45}^o$, ${45}^o$, and ${90}^o$

We know that the sum of three angles of a triangle is 180°.

Option (A):
Three angles given are 44°, 44°, and 112°.
Adding them, we get:
${44}^o+{44}^o+{112}^o={200}^o$

So, for option (A), triangle formation is not possible.

Option (B):
Three angles given are 65°, 85°, and 45°.
Adding them, we get:
${65}^o+{85}^o+{45}^o={195}^o$

So, for option (B), triangle formation is also not possible.

Option (C):
Three angles given are 45°, 45°, and 90°.
Adding them, we get:
${45}^o+{45}^o+{90}^o={180}^o$

Hence, a triangle can be drawn with the angles as 45°, 45°, and 90°.