Question

if these two figures are similar, what is the measure of the missing angle? 86° 60° 34° ?

Explanation:

Step1: Recall angle - sum property of triangles

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

Step2: Use similarity property

Since the two triangles are similar, their corresponding angles are equal. Let the missing angle be \(x\). For the first triangle, the sum of its angles is \(86^{\circ}+60^{\circ}+34^{\circ}=180^{\circ}\). For the second triangle, we can find the missing angle using the angle - sum property of triangles. \(x = 34^{\circ}\) because corresponding angles of similar triangles are equal.

Answer:

34°