Answer:
x°= 36°.
Step-by-step 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.
