Question

so, the triangles are not similar.
try it tell whether the triangles are similar. explain.
1.
2.
gles and triangles
multi - language glossary at

Explanation:

Step1: Find the missing angles

For the first triangle in problem 1:
The sum of angles in a triangle is \(180^{\circ}\). So \(x = 180-(28 + 80)=72^{\circ}\).
For the second triangle in problem 1: \(y=180-(28 + 71)=81^{\circ}\).
Since the angles \(28^{\circ},72^{\circ},80^{\circ}\) and \(28^{\circ},71^{\circ},81^{\circ}\) are not equal in pairs, the triangles are not similar.
For problem 2:
In the first triangle, \(x = 180-(90 + 66)=24^{\circ}\).
In the second triangle, \(y=180-(90 + 24)=66^{\circ}\).
The angles of the two triangles are \(90^{\circ},66^{\circ},24^{\circ}\) and \(90^{\circ},24^{\circ},66^{\circ}\).
Since the angles are equal in pairs (AA - Angle - Angle similarity criterion), the triangles are similar.

Answer:

1. The triangles are not similar.
2. The triangles are similar.