Question

Compare the sum of the angles of an acute-angled triangle (x) with that of an obtuse-angled triangle (y).

• A. Cannot find
• B. x > y
• C. x = y
• D. x < y

Answer 1

The correct option is C x = y

Case 1: In a right-angled triangle
$\angle A+\angle B+\angle C={180}^{\circ }$
Case 2: In a acute-angled triangle
$\angle A+\angle B+\angle C={180}^{\circ }$


Case 3: In a obtuse-angled triangle
$\angle A+\angle B+\angle C={180}^{\circ }$


Therefore, the angle sum property holds true for any type of triangle.
$\therefore x=y$