What is the perimeter of this hexagon? a. 18.5 b. 20.8 m c. 23.1 m d. 25.4 m

The answer to this question would be C (23.1).

Instead of multiplication (what would be done if all sides were equal), you need to use addition since the sides are all different.

6.2 + 3.6 + 2.3 + 4.5 + 2.3 + 4.2 = 23.1

64°

Step-by-step explanation:

Let's answer the guiding questions:

"1. What kind of triangle is this?"

Since two of the triangle's legs are the same length, this is an isosceles triangle.

"2. What does that tell me about the angles?  Which two angles are congruent?"

Isosceles triangles have a vertex angle (the angle between the congruent sides) and two base angles.  The base angles are congruent.

"3. How can we use congruent angles and the triangle sum theorem to solve for x?"

Since we know the third angle is 58°, and that angles of a triangle add up to 180°, we can write and solve an equation.

x + 58° + 58° = 180°

x + 116° = 180°

x = 64°