Question

1. find the measure of the vertex angle in the figure below.

triangle lmn with ml and mn marked as equal, angle at l is 48 degrees. multiple choice options: 66°, 96°, 84°, 48°

Explanation:

Step1: Identify triangle type

The triangle is isosceles (two sides equal), so base angles ∠L = ∠N = 48°.

Step2: Sum of angles in triangle

Total angles = 180°. Vertex angle ∠M = 180° - 2×48°.

Step3: Calculate vertex angle

∠M = 180° - 96° = 84°.

Answer:

84°