Question

if these two figures are similar, what is the measure of the missing angle? 60° 85° 35° ? ° submit

Explanation:

Step1: Recall similarity of triangles

Similar triangles have corresponding angles equal. So the angles of the second triangle should match the first.

Step2: Identify corresponding angle

The first triangle has angles \(60^\circ\), \(85^\circ\), \(35^\circ\). The missing angle in the second triangle should correspond to one of these. By matching the angle positions (or using angle - angle - angle similarity), we see the missing angle corresponds to \(35^\circ\) (or we can also calculate using triangle angle sum, but since they are similar, corresponding angles are equal. Let's verify with angle sum: sum of angles in a triangle is \(180^\circ\). For the first triangle, \(60 + 85+35=180\). For the second, if we assume the missing angle is \(x\), and the other two angles (corresponding) are equal to the first triangle's angles, so \(x\) should be equal to the corresponding angle. Looking at the triangles, the angle at the bottom of the second triangle corresponds to the \(35^\circ\) angle of the first. So the measure is \(35^\circ\).

Answer:

\(35\)