SOLUTION: The smallest angle in a triangle is ten degrees smaller than the meduim angle, and the larget angle is ten degrees more than twice the medium angle. What are the angle measures in
Algebra.Com
Question 335385: The smallest angle in a triangle is ten degrees smaller than the meduim angle, and the larget angle is ten degrees more than twice the medium angle. What are the angle measures in the triangle?
equation:
solution:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x-10 smaller angle.
x=medium angle.
2x+10=largest angle.
x-10+x+2x+10=180
4x=180
4x=180
x=180/4
x=45 degrees for the medium angle.
45-10=35 degrees for the smallest angle.
2*45+10=90+10=100 degrees for the largest angle.
Proof:
35+45+100=180
180=180
RELATED QUESTIONS
The sum of the angles of a triangle is 180 degrees. If one angle of a triangle is ten... (answered by stanbon)
In a triangle, the middle angle is 45 degrees and the largest angle is 15 degrees more... (answered by JBarnum)
one angle of a triangle is 20 degrees more than the smallest angle. another angle is 8... (answered by josmiceli)
the largest angle in a triangle is 50 degrees more than the smallest angle. the sum of... (answered by stanbon)
the smallest angle in a triangle is one-third of the largest angle.The third angle is 20... (answered by solver91311)
One angle in a triagle is 10 degrees more than the smallest angle in the triangle, while... (answered by rfer)
the largest angle of a triangle is 3 times the smallest angle. the middle angle is 30... (answered by stanbon)
The largest angle in a triangle is twice the measure of the smallest, and the medium... (answered by josgarithmetic)
One angle of a triangle is 40 degrees more than the smallest and the other is 5 degrees... (answered by solver91311)