SOLUTION: The largest angle in a triangle is 5 time the measure of the smallest angle. The middle-sized angle is 20 degree greater than twice the measure of the smallest angle. Find the meas

Question 1022400: The largest angle in a triangle is 5 time the measure of the smallest angle. The middle-sized angle is 20 degree greater than twice the measure of the smallest angle. Find the measure of the three angles?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The largest angle in a triangle is 5 time the measure of the smallest angle.
The middle-sized angle is 20 degree greater than twice the measure of the smallest angle.
Find the measure of the three angles?
:
Three angles, a, b, c
:
"The largest angle in a triangle is 5 time the measure of the smallest angle."
a = 5c
" The middle-sized angle is 20 degree greater than twice the measure of the smallest angle."
b = 2c + 20
we know
a + b + c = 180
replace a and b
5c + (2c+20) + c = 180
5c + 2c + c = 180 - 20
8c = 160
c = 160/8
c = 20 degrees is the smallest angle
then
a = 5(20)
a = 100 degrees is the largest
and
b = 2(20) + 20
b = 60 degrees
:
:
Check 100 + 60 + 20 = 180
Find the measure of the three angles?
RELATED QUESTIONS
The largest angle of a triangle is 5 times the size of the smallest, and the... (answered by Boreal)

In a certain triangle the measure of the medium-sized angle is three times the measure of (answered by stanbon)

The largest angle in a triangle is twice the measure of the smallest, and the medium... (answered by josgarithmetic)

The smallest angle of a scalene triangle is 2/3rd the size of the middle angle, and the... (answered by cleomenius)

In a triangle, the measure of the middle angle is triple the measure of the smallest... (answered by greenestamps)

I'm hopeless ! In a triangle, the largest angle is 100 degrees greater than the smallest (answered by ankor@dixie-net.com)

In a triangle, the largest angle is 100° greater than the smallest angle. The largest... (answered by josgarithmetic,MathTherapy)

In a triangle the measure of the largest angle is 3 times the measure of the smallest... (answered by texttutoring)

I'm stumped. The smallest angle of a triangle is 2 degrees more than 1/4 of the... (answered by scott8148)