SOLUTION: The sum of the angles of a triangle is 180�. The largest angle is 28� more than the smallest angle. The largest angle is two more degrees than the middle angle. What is the measure

Question 752370: The sum of the angles of a triangle is 180�. The largest angle is 28� more than the smallest angle. The largest angle is two more degrees than the middle angle. What is the measure of the middle angle? Use an augmented matrix to solve this problem.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of the angles of a triangle is 180�. The largest angle is 28� more than the smallest angle. The largest angle is two more degrees than the middle angle. What is the measure of the middle angle?
------
L + M + S = 180
L = S + 28
L = M + 2
------
Substitute and solve for "L":
L + (L-2) + (L-28) = 180
3L -30 = 180
3L = 210
Largest = 70
Middle = 68
Smallest = L-28 = 42
========================
Cheers,
Stan H.
=========================
RELATED QUESTIONS
the largest angle in a triangle is 50 degrees more than the smallest angle. the sum of... (answered by stanbon)

The sum of the angles in a triangle is always 180 degrees. In a particular triangle there (answered by addingup)

The smallest angle of a triangle measures 44 degrees less than the largest angle. The sum (answered by shree840)

the smallest angle in a triangle is one-third of the largest angle.The third angle is 20... (answered by solver91311)

In a triangle, the middle angle is 45 degrees and the largest angle is 15 degrees more... (answered by JBarnum)

the angles in a triangle must equal 180, The second angle is twice the size of the... (answered by josgarithmetic,ikleyn)

in a triangle, the mid sized angle is 8 more than the smallest angle and the largest... (answered by addingup)

The measure of the smallest angle of a triangle is 1/4 the measure of the largest angle.... (answered by ewatrrr)

The sum of the measures of the three angles in any triangle is 180 degrees. The measure... (answered by josgarithmetic)