SOLUTION: The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of a first angle. The third angle is 1

Question 1152557: The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of a first angle. The third angle is 15 more than the second. Let x, y, and z represent the measures of the measures of the first, second and third angles, respectively. Find the measures of the three angles. Do not include the degree symbol in your answer.
Found 3 solutions by josgarithmetic, MathTherapy, Alan3354:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Just follow the description literally and then solve.

The description as written means exactly:

Solve this system.

Not the only way to go but:

Do E1+E2, and E3-E2, and have

ADD:

, and you can find the other two.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of a first angle. The third angle is 15 more than the second. Let x, y, and z represent the measures of the measures of the first, second and third angles, respectively. Find the measures of the three angles. Do not include the degree symbol in your answer.

We already KNOW this, at least most of us! ====> The sum of the measures of the angles of a triangle is 180.
We don't need to know this, but you should! ===> Do not include the degree symbol in your answer.
From the description, x + y + z = 180 ------ eq (i)
y + z = 3x ----------- eq (ii)
z = y + 15 ----------- eq (iii)
x + 3x = 180 ------ Substituting 3x for y + z in eq (i)
Now you should be able to find the value of x, or the 1st angle
Knowing the value of x, you can substitute that value into eq (ii) to get a value for y + z. This "y + z" value
can then be substituted into eq (i) to get the value of z.
Then, all you'd need to find is the value of y.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The sum of the measures of the angles of a triangle is 180.
---------------
Thx for letting us know.
PS Water is wet.
RELATED QUESTIONS
In a triangle, the second angle measures twice the first, and the third andle measures 5... (answered by Fombitz)
The sum of the measures of the angles of a triangle is 180. The sum of the measures of... (answered by josgarithmetic)
The sum of the measures of the angles of a triangle is 180. The sum of the measures of... (answered by josgarithmetic,Alan3354,MathTherapy)
Question 1 options: The sum of the measures of the angles of a triangle is 180. The sum... (answered by math_tutor2020,ikleyn)
Question 1 options: The sum of the measures of the angles of a triangle is 180. The sum... (answered by greenestamps)
the sum fo the angles of a triangle is 180. if one angle of a triangle measures x and a... (answered by edjones)
The sum of the measures of the angles of a triangle sum to 180 degrees. The sum of the... (answered by josgarithmetic,Alan3354)
The Sum of the measures of the interior angles of any triangle is 180... (answered by ewatrrr)
The sum of the measures of the angles in a triangle is 180 degrees.One angle measures 45... (answered by Alan3354)