A home has a triangular backyard. The second angle of the triangle is 4degrees more than the first angle. The third angle is 8de
grees more than two times the first angle. Find the angles of the triangular yard.
The measure of the first angle is
2 answers:
Let
be the first angle.
"The second angle of the triangle is 4 degrees more than the first angle" means that the second angle is 
"The third angle is 8 degrees more than two times the first angle" means that the third angle is 
So, on the one hand, the sum of the angles of the triangle is

On the other hand, the sum of the sides of <em>any</em> triangle is 180 degrees. So, we have

Answer:
1st angle = X
2nd angle = X + 7
3rd angle = X + 18
Then (sum. them): 3X + 25 = 180 ==> X = 51.67 degree
Therefore,
1st angle = 51.67 degree
2nd angle = 58.67 degree
3rd angle = 69.67 degree
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