Question

triangle l is a scaled copy of triangle k.
image of triangle k (angles: 20°, 80°, 80°; sides: (2\frac{1}{2}), (2\frac{1}{2})) and triangle l (sides: (1\frac{3}{4}), (1\frac{3}{4}); angle: (m^circ))
what is the value of m?

Explanation:

Step1: Recall properties of scaled copies

Scaled copies (similar figures) have corresponding angles equal. So triangle L, being a scaled copy of triangle K, will have the same angle measures as triangle K for corresponding angles.

Step2: Identify corresponding angles

In triangle K, the base angles are \(80^\circ\). Since triangle L is a scaled copy, its base angles (corresponding to triangle K's base angles) will also be \(80^\circ\). So \(m = 80\).

Answer:

\(80\)