The degree measures of the two angles of the triangle ABC are equal to 27 and 75. Find the difference between

The degree measures of the two angles of the triangle ABC are equal to 27 and 75. Find the difference between the degree measures of the larger and smaller angles of this triangle.

Since the sum of the angles of the triangle is 180 °, the value of the third angle will be equal to:

180 ° – 27 ° – 75 ° = 78 °.

Then the angle of 78 ° is large, the angle of 27 ° is smaller. The difference between the angles will be:

78 ° – 27 ° = 61 °.

Answer: The difference between the larger and smaller angles is 61 °.