SOLUTION: The measures of the three angles of a triangle are represented by x, 3x, and x+30. What is the value of x?
Algebra.Com
Question 535096: The measures of the three angles of a triangle are represented by x, 3x, and x+30. What is the value of x?
Answer by lmeeks54(111) (Show Source): You can put this solution on YOUR website!
This problem requires knowing that the sum of the interior angles in any triangle = 180 deg. We are given the 3 angles for the triangle in terms of x:
...
x
3x
x + 30
...
We know they must sum to 180:
...
x + 3x + (x + 30) = 180
...
Combine like terms and simplify:
5x + 30 = 180
...
Subtract 30 from both sides:
5x = 150
...
x = 30 deg
...
Cheers,
Lee
RELATED QUESTIONS
if the measures of the angles of a triangle are represented by x, 2x, 2x+20, what is the... (answered by stanbon)
in a certain triangle, the measures of the interior angles can be represented as x, 2x,... (answered by jim_thompson5910)
Given that three angles of a triangle are represented by x, x+4, and 2x, what are the... (answered by Earlsdon)
the measures of two complementary angles represented by (3x+15) and (2x-10). what is the... (answered by nerdybill)
The measures of the angles of a triangle are represented by (3x-20), (7x+30), and... (answered by Solver92311)
the measure of the angles of a triangle are represented by (3x-20),(7x+30) and (2x+50).... (answered by ankor@dixie-net.com)
Find the measures of the angles of a triangle if the angles are represented by x, 4x,... (answered by nyc_function)
Find the measures of the angles of a triangle if the angles are represented by x, 4x, and (answered by Alan3354)
The three angles of a triangle have measures 12x°, 3x°, and 7y°, where 7y > 60. If x and... (answered by solver91311)