HELP ME FAST What is the sum of the interior angles of the polygon

900
540
720
108

Write a transformation that Mapes quad ABCD onto quad A"B"C"A

Lesson 10: Geometry Unit Test CE 2015
1205070 M/J Grade 8 Pre-Algebra - T2 Unit 1: Geometry

Im sorry but this is all i know on that

Step-by-step explanation:

Sum of Interior Angles of a Polygon

We first start with a triangle (which is a polygon with the fewest number of sides). We know that

The sum of interior angles in a triangle is 180°.

This is also called the Triangle Sum Theorem. Click here if you need a proof of the Triangle Sum Theorem.

Next, we can figure out the sum of interior angles of any polygon by dividing the polygon into triangles. We can separate a polygon into triangles by drawing all the diagonals that can be drawn from one single vertex.

In the quadrilateral shown below, we can draw only one diagonal from vertex A to vertex B. So, a quadrilateral can be separated into two triangles.

quadrilateral divided

The sum of angles in a triangle is 180°. Since a quadrilateral is made up of two triangles the sum of its angles would be 180° × 2 = 360°

The sum of interior angles in a quadrilateral is 360º

angles in pentagon hexagon

A pentagon (five-sided polygon) can be divided into three triangles. The sum of its angles will be 180° × 3 = 540°

The sum of interior angles in a pentagon is 540°.

A hexagon (six-sided polygon) can be divided into four triangles. The sum of its angles will be 180° × 4 = 720°

The sum of interior angles in a hexagon is 720°.

f(x)=4

step-by-step explanation: