Question

if these two figures are similar, what is the measure of the missing angle? 58° 33° 89°?

Explanation:

Step1: Recall the property of similar triangles

Similar triangles have equal corresponding angles.

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). For the first triangle, the angles are \(58^{\circ}\), \(33^{\circ}\), and \(89^{\circ}\). For the second triangle (similar to the first), the unknown angle corresponds to the \(58^{\circ}\) angle in the first triangle.

Answer:

\(58\)