Question

Help, what is x. and please give an explination to help me understand

Answer 1

x = 46

Explanation:

The two angles in the image, when added together make a straight angle (a straight line) which is 180°

Use this idea to write an equation.

2(x - 26) + 3x+2=180°

use distributive property

2x - 52 + 3x+2 = 180°

combine like terms

5x - 50 = 180°

add 50

5x = 230

divide by 5

x = 46

Answer 2

Answer: x = 46

Explanation:

From the diagram, we can assume the total degrees is 180 because of the straight line

so the 2 angles added together would equal to 180 degrees.

Equation : 180 = 2(x-26) + (3x+2)

distribute : 180 = 2x -52 + 3x + 2

combine : 180 = 5x - 50

isolate x : +50 +50

equals : 230 = 5x

divide both sides by 5

230/5 = 5x/5

x = 46

Check: plug the value of x into the equation

180 = 2(46 - 2) + (3(46) +2)

180 = 92 -52 + 138 + 2

180 = 180