Question

suppose that you cut off the angles of the triangles as shown in the diagram below. you lay the three angles so that the vertices are at the same point, and one of the angles is between and adjacent to the other two angles. which of the following statements have you proven? there are 360° in a circle. a straight angle has a measure of 180°. the sum of the measures of the angles of a triangle is 180°. corresponding angles have equal measures.

Explanation:

Step1: Recall the properties of triangle angles

The three angles of a triangle, when placed together with vertices at the same point and adjacent to each other, form a straight - line (a straight angle).

Step2: Analyze the sum of angles

A straight angle has a measure of \(180^{\circ}\). Since the three angles of the triangle form a straight angle when combined as described in the problem.

Answer:

The sum of the measures of the angles of a triangle is \(180^{\circ}\).