Question

the given two triangles are similar. if the sum of the measures of two angles in a triangle is 85°, what is the corresponding sum of the measures of the angles in the other triangle?
options: 85°, 95°, 275°, 175°

Explanation:

Step1: Recall properties of similar triangles

Similar triangles have corresponding angles equal. So the sum of corresponding angles in similar triangles will be equal.

Step2: Apply the property to the given problem

The sum of two angles in one triangle is \(85^\circ\). Since the triangles are similar, the corresponding sum of angles in the other triangle will also be \(85^\circ\) (because corresponding angles are equal, so their sums will be equal).

Answer:

\(85^\circ\) (the option with \(85^\circ\))