Question

Please help me please thank you

Answer 1

Answer:

x = 15

Step-by-step explanation:

angles 2 and 4 are supplementary so they add up to 180

2x + 10 + 4x + 80 = 180

6x + 90 = 180

6x = 90

x = 15

Answer 2

Answer:

x=15

Step-by-step explanation:

Angles 2 and 4 are same-side interior angles. This means that if they are supplementary angles, then the lines A and B are parallel.

Supplementary angles, when added together, will equal a total of 180°. Set up an equation in which the angles are added and are equal to 180:

$(2x+10)+(4x+80)=180$

Solve for x. Remove the parentheses and combine like terms:

$2x+10+4x+80=180\\\\2x+4x+10+80=180\\\\6x+90=180$

Work to isolate the variable, x. Subtract 90 from both sides:

$6x+90-90=180-90\\\\6x=90$

Isolate x. Divide both sides by 6:

$\frac{6x}{6}=\frac{90}{6} \\\\x=15$

The value of x is 15.

:Done

If you want to check your work, insert the value of x into the angles, and add them. If the answer is 180, then the value of x is true:

$2x+10\\\\2(15)+10\\\\30+10\\\\40$

∠2=40

$4x+80\\\\4(15)+80\\\\60+80\\\\140$

∠4=140

∠2+∠4=180

40+140=180

The value of x is true.