A home has a triangular backyard. The second angle of the triangle is 7 degrees more than the first angle. The third angle is 13 degrees more than two times the first angle. Find the angles of the triangular yard?

Question

anonymous · Answer

let the first angle=x
second angle=x+7
third angle=2x+13
x+x+7+2x+13=180
?

pphalke · Answer

4x+20=180 is that right?

directrix · Answer

Yes, it is correct.

Continue to solve for x.

4x+20=180

directrix · Answer

@pphalke

pphalke · Answer

is that the answer for the first angle ? what do i do to get the other angles?

pphalke · Answer

@Directrix

directrix · Answer

>>4x+20=180  is the answer to nothing as it stands.

You have to solve this for x.
Begin by subtracting 20 from both sides of the equation.

4x   +   20   =   180 
       -    20          -20
---------------------
 4x              =   160

x                  =    ?


What is 160 divided by 4?

pphalke · Answer

40?

directrix · Answer

x = 40, yes

Find the measures:

let the first angle=x  = 40 as we just learned

second angle=x+7  = 40 + 7 = 

 third angle=2x+13  = 2*40  + 13 =

What are the measures of the second and third angles?