Question

if these two figures are similar, what is the measure of the missing angle?

Explanation:

Step1: Recall angle - sum property of triangles

The sum of interior angles of a triangle is 180°.

Step2: Calculate the missing angle

Let the missing angle be \(x\). For the first triangle with angles 60°, 59°, and \(y\), \(y=180-(60 + 59)=61^{\circ}\). Since the two triangles are similar, corresponding angles are equal. So the missing angle in the second triangle is also 61°.

Answer:

61°