One right triangle has an acute angle of 22 degrees, and another rectangle has an acute angle

One right triangle has an acute angle of 22 degrees, and another rectangle has an acute angle of 68 degrees, are these triangles similar?

It is known:

2 right triangles;

In the first triangle, one angle = 22 °;

The second triangle has one angle = 68 °.

Determine if 2 right triangles are similar.

1) Consider the first right-angled triangle.

2 angles are known 90 ° and 22 °.

Find the third corner. If the sum of all the angles of the triangle is 180 °, then the third angle of the triangle is.

180 ° – 90 ° – 22 ° = 90 ° – 22 ° = 90 ° – 20 ° – 2 ° = 70 ° – 2 ° = 68 °.

3) Consider the second triangle in a similar way.

180 ° – 90 ° – 68 ° = 90 ° – 68 ° = 90 ° – 60 ° – 8 ° = 30 ° – 8 ° = 22 °.

From here we see that the angles of the first triangle are equal to the angles of the second triangle.

This means that 2 right-angled triangles are similar.