The bisector AL is drawn in the triangle ABC, the angle ALC is 37, the angle ABC is 25. Find the angle ACB.

Given:
triangle ABC,
AL – bisector,
angle ALC = 37 degrees,
angle ABC = 25 degrees.
Find the degree measure of the angle ACB -?
Decision:
1. Angle BLA and angle ALC are adjacent angles. The sum of their degree measures is 180 degrees. Then the angle ВLА = 180 – 37 = 143 (degrees).
2. Consider the triangle ABL. Knowing that the sum of the degree measures of the angles of a triangle is 180 degrees,
angle BAL = 180 – 143 – 25;
angle BAL = 37 – 25;
angle BAL = 12 degrees.
3. Since АL is a bisector, the angle BAL = angle LАС = 12 degrees.
4. Consider the triangle LAC.
Angle АСВ = 180 – 37 – 12;
angle ACB = 131 degrees.
Answer: 131 degrees.