Theorem 6.5 : If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is

Is it true to say that, if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle, then the triangles are similar? Give reason for your answer.

If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right triangle.

If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right triangle.

If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right triangle.

Theorem 6.3 : If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar.

If one angle of a triangle is greater than the sum of the other two, show that the triangle is obtuse angled.

If one angle of a triangle is 60^0 and the other two angles are in the ratio 1:2, find the angles.

If one angle of a triangle is 100^0 and the other angles are in the ratio 2:3, find the angles.

One angle of a triangle is equal to one angle of another triangle and the bisectors of these two equal angles divide the opposite sides in the same ratio, prove that the triangles are similar.