SOLUTION: Find the measures of the angles of a triangle if the measure of one angle is twice the measure of a second angle and the third angle measures 3 times the second angle decreased by
Algebra.Com
Question 341194: Find the measures of the angles of a triangle if the measure of one angle is twice the measure of a second angle and the third angle measures 3 times the second angle decreased by 12.
Found 2 solutions by rfer, stanbon:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
2x+x+3x-12=180
6x=192
x=32 degrees
2x=64 degrees
3x-12=84 degrees
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the measures of the angles of a triangle if the measure of one angle is twice the measure of a second angle and the third angle measures 3 times the second angle decreased by 12.
-----
Equations:
x + y + z = 180
x = 2y
z = 3y-12
---------------
Substitute and solve for "y";
2y + y + 3y-12 = 180
6y = 192
y = 32 degrees
---
x = 2y = 64 degrees
z = 3y-12 = 96-12 = 84 degrees
----------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
Find the measures of the angles of a triangle if the measure of the 1st triangle is twice (answered by richwmiller)
The sum of the measures of the interior angles of a triangle are 180 deg. If the measure... (answered by Greenfinch)
find the measures of the angles of a triangle if the measure of one side is twice the... (answered by lwsshak3)
In a triangle, the measure of one angle is 60 degrees, the second angle is twice the... (answered by checkley75)
Given a right triangle, find the measures of all the angles, in degrees, if one angle is (answered by VFBundy,ikleyn)
One angle of a triangle is three times the measure of second angle. The third angle... (answered by mananth)
The measure of the first angle of a triangle is four times as large as the measure of the (answered by rfer)
One angle of a triangle measures 10° more than the second. The measure of the third angle (answered by Earlsdon,Jk22)
The measure of one angle of a triangle is 28 more than the measure of the smallest angle... (answered by checkley77)