In triangle ABC, angle B is 23 degrees and angle B is 76 degrees. What percentage of the sum of the angles

In triangle ABC, angle B is 23 degrees and angle B is 76 degrees. What percentage of the sum of the angles of the triangle is the angle C?

Given:

triangle ABC,

angle A = 23 degrees,

angle B = 76 degrees.

Find the percentage of the sum of the angles of the triangle makes the angle C -?

Decision:

Consider a triangle ABC. The sum of the degree measures of the angles of a triangle is 180 degrees.

Therefore, angle A + angle B + angle C = 180;

angle C = 180 – angle A – angle B;

angle C = 180 – 23 – 76;

angle C = 157 – 76;

angle C = 81 degrees.

Angle C / (angle A + angle B + angle C) * 100% = 81/180 * 100 = (81 * 100%) / 180 = (9 * 10%) / 2 = 90% / 2 = 45%.

Answer: 45%.