Question

4. Which of the following statements are True?

1. The sum of all exterior angles of any polygon equals 180
II. The Exterior Angle of a triangle is equal to the sum of its remote interior
angles.
III. All Equilateral Triangles are Isosceles and therefore have essentially the
same properties as Isosceles Triangles.
IV. The sum of any two sides of a triangle is greater than or equal to the third
side.
O II, III and IV
O II, and III
O All of these choices
I, II and IV
I, II and III

Answer 1

III i had this same question

Answer 2

The correct answer is I, II and IV.

Statement I is true. The sum of all exterior angles of any polygon is always equal to 360 degrees.

Statement II is true. The exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to it.

Statement III is false. An equilateral triangle is a type of triangle in which all sides are equal in length, but it is not necessarily isosceles (i.e., it does not necessarily have two equal angles).

Statement IV is true. This statement is known as the triangle inequality theorem, and it states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the third side.

Together, these statements imply that the correct answer is I, II and IV.

Step-by-step explanation: