The bisector AL is drawn in the triangle ABC. The angle ALC is 112 degrees and the ABC angle is 106 degrees. Find the angle ACB.

In a triangle, the sum of all angles is 180 degrees. The bisector divides the angle in half. The sum of two adjacent angles is 180 degrees.

1). Let’s define the degree measure of the angle АLВ.

180 – 112 = 68 degrees.

2). Let’s calculate the degree measure of the angle BAL.

180 – (106 + 68) = 180 – 174 = 6 degrees.

3). How many degrees is the angle of ВАС?

6 * 2 = 12 degrees.

4). Let’s find what the degree measure of the angle ACB is equal to.

180 – (106 + 12) = 180 – 118 = 62 degrees.

Answer: The ACB angle is sixty-two degrees.



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