SOLUTION: please help me solve the problem of: in a triangle, the second angle is 5 more than twice the first angle. the third angle is 35 less than 3 times the first angle. find the number

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Question 583696: please help me solve the problem of: in a triangle, the second angle is 5 more than twice the first angle. the third angle is 35 less than 3 times the first angle. find the number of degrees in each angle of the triangle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the degrees in the 1st angle
The sum of the angles of a triangle is always 180
given:
+x+%2B+2x+%2B+5+%2B+3x+-+35+=+180+
+6x+-+30+=+180+
+6x+=+210+
+x+=+35+
and
+2x+%2B+5+=+2%2A35+%2B+5+
+2x+%2B+5+=+75+
and
+3x+-+35+=+3%2A35+-+35+
+3x+-+35+=+105+-+35+
+3x+-+35+=+70+
The angles are 35, 75 and 70
check:
+35+%2B+75+%2B+70+=+180+
+180+=+180+
OK