Answer:
Step-by-step explanation:
Statement 1: The sum of the interior angles of a triangle is 180 degrees.
True. According to the Triangle Sum Theorem, the sum of the interior angles of a triangle is always 180 degrees .
Statement 2: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
True. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles.
Statement 3: The sum of the measures of any two angles of a triangle is always greater than the measure of the third angle.
True. This statement is known as the Triangle Inequality Theorem, which states that the sum of the measures of any two angles of a triangle is always greater than the measure of the third angle.
Statement 4: The measure of each exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
True. The measure of each exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Statement 5: The measure of each exterior angle of a triangle is equal to 180 degrees minus the measure of the corresponding interior angle.
True. The measure of each exterior angle of a triangle is equal to 180 degrees minus the measure of the corresponding interior angle.
