I need help solving this question it’s so hard

x=40

Step-by-step explanation:

Since a circle has a total of a 360 degree angle the equation is

(x+40)+(2x+60)+(3x+20)=360

to simplify this we can bring all the variables(x) together and the numbers together.

(x+2x+3x)+(40+60+20)=360

6x+120=360

6x=360-120

6x=240

6x/6=240/6

x=40

The sum of all the degrees in a circle is 360 degrees. Knowing this you can make a equation:

(x + 40) + (2x + 60) + (3x + 20) = 360

x + 40 + 2x + 60 + 3x + 20 = 360

(x + 2x + 3x) + (40 + 60 + 20) = 360

Now you must combine like terms  This means the numbers with the same variables must be combined...

(x + 2x + 3x) + (40 + 60 + 20) = 360

x + 2x + 3x = 6x

(6x) + (40 + 60 + 20) = 360

Now combine the terms without variables (on the left side of the equation) together

(6x) + (40 + 60 + 20) = 360

40 + 60 + 20 = 120

(6x) + 120 = 360

Now we must isolate x. To do this first bring 120 to the right side by subtracting 120 to both sides (what you do on one side you must do to the other). Since 120 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

6x + 120 - 120 = 360 - 120

6x + 0 = 240

6x = 240

To further isolate x  you must divide 6 to both sides. Since x is being multiplied by 6 you must divide 6 to both sides to make 6 one on the left side and bring it over to the right side

6x / 6 = 240 / 6

1x = 40

x = 40

Check:

(40 + 40) + (2(40) + 60) + (3(40) + 20)

(80) + (80 + 60) + (120 + 20)

80 + 140 + 140

360

Hope this helped! Let me know if you have any further questions or want anything clarified.

~Just a girl in love with Shawn Mendes

Here I have done it and we can see I have got two factors. And among the options given 4x + 2 is the factor which I got. So 4x + 2 is one of the correct factors.