The bisectors of the two corners of the triangle intersect at an angle of 144 degrees

The bisectors of the two corners of the triangle intersect at an angle of 144 degrees, determine the shape of the triangle.

1) Let the bisectors of the angles A and B be drawn in the triangle ABC, then (<A + <B) / 2 + 144 ° = 180 °. Determine the sum of the angles:

(<A + <B) = (180 ° – 144 °) * 2 = 36 ° * 2 = 72 °.

2) ° Define the third angle of the triangle <C = 180 ° – (<A + <B) = 180 – 72 ° = 108 °.

3) Since one of the angles of the triangle, <C = 108 °> 90 °, it means that such a triangle is called obtuse.

Answer: the triangle is obtuse.