Question

question 8 of 10
if two angles of a triangle are acute, then the third angle

a. must be right
b. must be acute
c. could be any of these
d. must be obtuse

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is 180°. Acute angles are angles less than 90°.

Step2: Consider different cases

Case 1: For a right - angled triangle like 30°, 60°, 90° where two angles (30° and 60°) are acute and one is right. Case 2: For an acute - angled triangle like 60°, 60°, 60° where all three angles are acute. Case 3: For an obtuse - angled triangle like 30°, 30°, 120° where two angles (30° and 30°) are acute and one is obtuse.

Answer:

C. could be any of these