Question

Few measurements of ΔDEF are EF=8.4 cm, ∠E=103⁰ and ∠F=85⁰. Which of the following is correct?

• A. ΔDEF can be constructed.
• B. ΔDEF is a right angled triangle
• C. ΔDEF cannot be constructed.
• D. ΔDEF is an acute angled triangle.

Answer 1

The correct option is C ΔDEF cannot be constructed.

The sum of interior angles of a triangle = 180⁰.

Here, the sum of given angles = 103⁰ + 85⁰ = 188⁰

Hence, the triangle cannot be constructed as it does not satisfy the angle sum property.