Respuesta :

Answer:

x= 29

Step-by-step explanation:

These angles equal 180° since they are corresponding angles.

So, the equation would be: (2x-10)+(4x+16)= 180.

Step 1- Add common variables.

(2x+4x)+(16-10)= 180

6x+6= 180

Step 2- Subtract 6 to both sides.

6x+6= 180

    -6     -6

6x= 174

Step 3- Divide both sides by 6.

6x= 174

6     6

x= 29

Answer:

x=29

Step-by-step explanation: The two angles for are supplementary, so the equation will be equal to 180 degrees. So to find 180 degrees you need to put (2x-10) and (4x+16) on the same side of the equation.

180=(2x-10)+(4x+16)  Combine like terms

180=6x+6 Subtract 6 from both sides

174=6x Divide both sides by 6

29=x

Check:

2*29-10

58-10= 48

4*29+16

116+16=132

132+48=180