SOLUTION: The measure of one angle of a triangle is twice the measure of a second angle. The measure of the third angle is 12 less than the sum of the other two. Find the measures of the ang

Algebra.Com
Question 497906: The measure of one angle of a triangle is twice the measure of a second angle. The measure of the third angle is 12 less than the sum of the other two. Find the measures of the angles of the triangle.
Answer by cleomenius(959)   (Show Source): You can put this solution on YOUR website!
A = 2x
B = x
C = x + 2x - 12
===========================================
2x + x + x + 2x -12 = 180 degrees.
6x = 12 = 180 degrees
6x =192
x = 28
============================================
A = 64 degrees
B = 32 degrees
C = 84 degrees
==========================================
64 + 32 + 84 = 180 degrees. This does check.
Cleomenius.

RELATED QUESTIONS

In a triangle, the measure of the first angle is twice the measure of the second angle.... (answered by mathchemprofessor)
in a triangle the measure of the first angle is twice the measure of the second angle.... (answered by ewatrrr)
in a triangle, the measure of one angle is twice the measure of the second angle. The... (answered by rfer)
The angle of a triangle is twice the measure of the second angle.The third angle is twice (answered by Fombitz)
one angle of a triangle has a measure that is 10 more than twice that of the second... (answered by checkley71)
ONE ANGLE OF A TRIANGLE HAS A MEASURE THAT IS 10 MORE THAN TWICE THAT OF THE SECOND... (answered by checkley71)
The measure of one angle of a triangle is 5 less than twice the second angle and the... (answered by rfer)
 The measure of the third angle of a triangle is 38 degrees more than the second... (answered by rwm)
In a triangle, the measure of the first angle is 20 more than the measure of the second... (answered by Fombitz)
In a triangle, the measure of the second angle is twice the measure of the first angle.... (answered by Mathtut)