SOLUTION: the measure of one angle of a quadrilateral is 13 degrees greater than the smallest angle the third angle is 15 degrees greater then twice the smallest angle and the fourth angle i

Question 423894: the measure of one angle of a quadrilateral is 13 degrees greater than the smallest angle the third angle is 15 degrees greater then twice the smallest angle and the fourth angle is 27 degrees greater than the smallest angle. find the measures of all 4 angles of the quadrilateral ...... now what i got so far is the equation x+13x-15+2x-27+x=360 im really not sure the eqaution is right im actually positive its not.

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let x = smallest angle
Then the 2nd angle = x + 13
The 3rd angle = 2x + 15
And the 4th angle = x + 27
We know the sum of the 4 angles is 360 degrees:
x + x + 13 + 2x + 15 + x + 27 = 360
Collecting terms gives 5x = 360 - 55 -> x = 61 deg.
So the 2nd angle = 61 + 13 = 74 deg.
The 3rd angle = 122 + 15 = 137 deg.
And the 4th angle = 61 + 27 = 88 deg.
Ans: 61, 74, 88, 137
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