Classify the triangle below according to its sides and angles.

I. Equilateral
II. Isosceles
III. Scalene
IV. Acute
V. Obtuse
VI. Right

• A. I and IV
• B. I and V
• C. II and V
• D. II and IV
• E. III and VI
• F. Only one of I, II, III, IV, V, and V

Answer: (C)

Verified step by step guidance

1. Observe the triangle and note that it has two equal angles of 30 degrees each, which means the two sides opposite these angles are also equal. This indicates that the triangle is isosceles.
2. Since the triangle is isosceles, it can be classified as type II (Isosceles).
3. To classify the triangle by its angles, calculate the third angle θ using the angle sum property of triangles: θ = 180° - 30° - 30°.
4. Calculate θ to find that it is 120°, which is greater than 90°, indicating that the triangle is obtuse.
5. Thus, the triangle can be classified as type V (Obtuse) as well. Therefore, the correct classification is II and V.