Question

select all triangles that are similar to the triangle shown. note they be drawn to scale.
draw
(shows a triangle with angles 34° and 17° at the base vertices)
show your work here

Explanation:

Step1: Find the third angle

The sum of angles in a triangle is \(180^\circ\). So the third angle \(= 180 - 34 - 17 = 129^\circ\).

Step2: Check similarity

Triangles are similar if their corresponding angles are equal (AA criterion). So any triangle with angles \(34^\circ\), \(17^\circ\), and \(129^\circ\) is similar.

Answer:

Triangles with angles \(34^\circ\), \(17^\circ\), and \(129^\circ\) (identify such triangles by their angle measures).