Question

The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x.

Write an equation that would allow you to solve for the value of x.

Solve for the value of x

Answer 1

the 4 angles in a quadrilateral add up to 360 degrees
so we have

x +_ 2x + 3x + 3x = 360

Answer 2

We need the same formula again.
Use the formual with n = 4.
What do you get for S?

Answer 3

\(S = (n - 2)180\)

In this problem, n = 4 since a quadrilateral has 4 sides.

Answer 4

I got 360

Answer 5

Good.
The sum of the measures of the angles is 360.

Answer 6

We are told the 4 angles measure:
x, 2x, 3x, and 3x.
If we add up those measures, we get:

\(x + 2x + 3x + 3x\)

We know the angle measures must add up to 360 from the formula, so that means

\(x + 2x + 3x + 3x = 360\)

Now we can solve this equation for x.

Answer 7

We add all the terms on the left side:

\(9x = 360\)

Now we divide both sides by 9:

\(x = 40\)