The measures of the angles

We then can combine like terms to get x(2+4+9)=x*15=180. Dividing both sides by 15 to solve for x, we get x=12. Therefore, the measures of the angles are 12*2=24, 12*4=48, and 12*9=108. Feel free to ask further questions!

Step-by-step explanation:

y= -1x + 8

Step-by-step explanation:

so we have to know that the side of Triangle DEF that is parallel segment BC is  EF.  

we know that the side EF contains the coordinates (4,4) and (6,2).

So we could use this to find the slope for side EF by finding the difference in the y values and dividing it by the difference in the x values.

4-2= 2

4-6= -2

2/-2= -1  so the slope is negative one.

Now we have to find the y-intercept so we could plot in the x  and y values and the slope into the equation    y=mx + b to find the y-intercept.

In the coordinates (6,2)  6 is the x value and 2 is the y value.

so we put it like this   2=-1(6) + B where -1 is the slope.

2= -6 + b  add 6 to both sides and  b= 8.

so now we know the slope and the y-intercept so we will write the equation like this.    y= -1x + 8