Question

For Construction of △ABC where AB = 4 cm, ∠A = 60°, and ∠B = 30°, what is the critical step used to locate vertex C?

Options

• The intersection point of the rays drawn from ∠A and ∠B.

• Constructing the third angle ∠C.

• Drawing an arc of 4 cm from A.

• Measuring 4 cm along the ray from ∠B.

Answer 1

The intersection point of the rays drawn from ∠A and ∠B.

Explanation:

In construction:

• You draw the base (AB = 4 cm).

• Then draw two angle rays from points A and B (60° from A, 30° from B).

• The third point C is exactly where these two rays cross each other.