Question

Determine the unknown angle measures for the quadrilateral in the diagram.

4xº
3x
2xº

Answer 1

x°= 36°.

Explanation:

Theory. The sum of all internal angles of any quadrilateral equals 360°.

Let's solve.

1. Form an equation.

Knowing that all angles must equal 360°, we can add all the expressions and equal them to 360°:

4x°+3x°+2x°+x°=360°.

2. Solve the equation.

4x+3x+2x+x=360

10x=360

x=360/10

x= 36.

3. Express your result.

x°= 36°.

4. Verify your result.

If this solution is correct, than the equation "4x+3x+2x+x=360" must be true when substituting x by 36. Let's test:

4(36)+3(36)+2(36)+(36)=360 ---> True. Hence, the result is correct.