The two angles of one triangle are equal to 70 and 80 degrees, and the two angles of the other

The two angles of one triangle are equal to 70 and 80 degrees, and the two angles of the other triangle are equal to 30 and 80. Similar triangles.

Sign of similarity of triangles in two angles: If two angles of one triangle are equal to two angles of another triangle, then such triangles are similar.

In the first triangle, we know two angles, 70 ° and 80 °. Find the third corner. The angles of a triangle add up to 180 °. This means that the third angle of the first triangle is 180 ° – (70 ° + 80 °) = 180 ° – 150 ° = 30 °.

In the second triangle, the two angles are 30 ° and 80 °, and in the first triangle, there are two angles 30 ° and 80 °. This means that according to the similarity of triangles in two angles, these triangles are similar.