SOLUTION: The largest angle of a triangle is 6 times the size of the smallest, and the middle angle is 5 times the size of the smallest. What are the three angles measure?

Question 1070926: The largest angle of a triangle is 6 times the size of the smallest, and the middle angle is 5 times the size of the smallest. What are the three angles measure?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
largest angle = 6 times the smallest.
middle angle = 5 * the smallest.

sum of the angles of a triangle is 180.

let x = the size of the smallest angle.

the size of the middle angle is 5x.

the size of the largest angle is 6x.

x + 5x + 6x = 180

combine like terms to get 12x = 180

solve for x to get x 180/12 = 15 degrees.

5x = 75 degrees.

6x = 90 degrees.

largest angle is 90 degrees.
middle angle is 75 degrees.
smallest angle is 15 degrees.

RELATED QUESTIONS
The largest angle of a triangle is 5 times the size of the smallest, and the... (answered by Boreal)

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

In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of... (answered by Alan3354)

If there is a triangle and the largest angle is 4 times the size of the smallest angle... (answered by Fombitz)

The largest angle in a triangle is 6 more than 5 times the smallest angle. The difference (answered by addingup)

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

the size of the smallest angle of a triangle is 30% of the size of the largest angle.the... (answered by nerdybill)

the largest angle is 6 times the size of the smallest, and the angle is 2 times the size... (answered by stanbon)

The largest angle of a triangle is 6 times the smallest angle and it is 3 times the other (answered by rfer)