Question

Find the value of the variable. The sum of angle measures is 180°. Then find the angle measures of the polygon

Answer 1

Explanation:

The internal angles of a triangle sum 180°

n + 4n + 40 = 180

5n = 180 - 40

5n = 140

n = 140/5

n = 28

Check:

28 + 4*28 + 40 = 180

28 + 112 + 40 = 180

Answer:

variable n = 28°

∡n = 28°

∡4n = 4*28 = 112°

Answer 2

28° + 112° + 40° = 180°

Explanation:

A Triangle has 3 angles that adds up to 180°

You are given 3 angles already so they must add up to 180°

Equation: n + 4n + 40° = 180°

Simple the equation.

Add the variable n together.

5n + 40° = 180°

Subtract 40 to both sides.

5n = 140°

Divide 5 to both side to solve for n.

n = 28°

Now plug n into our angles to have our angles in degree.

n = 28°

4n = 4×28° = 112°

40°

28° + 112° + 40° = 180°