a home has a triangular backyard. the second angle is 6 degrees more than the first angle. the third angle is 14 degrees more than three times the first angle. find the angles of the triangular backyard
can anyone show me full steps??

Question

a home has a triangular backyard. the second angle is 6 degrees more than the first angle. the third angle is 14 degrees more than three times the first angle. find the angles of the triangular backyard
can anyone show me full steps??

isaidavila · Answer

In a triangular shape the sum of the angles is 180.
So now figure out the values of the angles
"The seco D angle is 6 degrees more..."
I can write it like this
If the first angle is "x"
First--->x
Second--->x+6
The third says 14 more than 3 times the first, so
Third is 14+3x

pphalke · Answer

how do i go about doing this?

isaidavila · Answer

So now you have  to do this
First+second+third=180

pphalke · Answer

how do i turn it into an equation?

isaidavila · Answer

x+(x+6)+(14+3x)=180

pphalke · Answer

my problem is figuring out how to solve it

isaidavila · Answer

It is a simple equation

isaidavila · Answer

Sum up the quotients of x

isaidavila · Answer

5x+20=180

pphalke · Answer

ok will it find me all three angles. as the last part of the question states "find the angles of the triangular backyard" so it wants all three angles

isaidavila · Answer

First find x plis

isaidavila · Answer

If you find x you can find the measure of the there angles
First---->x
Second--->x+6
Third--->14+3x

pphalke · Answer

x=32 because 5x+20=180 so i subtracted 20 from both sides and got 160 then divided by 5 to get 32 so now what??

isaidavila · Answer

Yes you are right

mathmale · Answer

Your first angle is x=32 degrees.
Your second is x+6 degrees, or ... ?
Your third angle is 3x+14, or ... ?

Once you have these 3 possible angles, add them together.  If their sum is 180 degrees, then it's probable that y ou have the correct answers (the measures of three angles).

isaidavila · Answer

Now fi D the angles
The first angle is equal to x

pphalke · Answer

thats what i want to know is how to get the measure of the second angle

isaidavila · Answer

Second angle is x+6 or
32+6=?

isaidavila · Answer

And the third is 
3*32+14

mathmale · Answer

Please go back and re-read the original problem statement.

It explains how the 2nd and 3rd angles are calculated from the first angle, x.

mathmale · Answer

Please see my last post, from 5 minutes ago:  I explained the same thing there also.

pphalke · Answer

is it 32+6 which is 38 for the second angle

isaidavila · Answer

Yes