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

September 29, 2021 | education

| **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.