SOLUTION: In triangle QRS, the measure of angle Q = X, the measure of angle R = (8X-40), and the measure of angle S = 2x. What type of triangle is triangle QRS? 1) isosceles 2) right 3

Algebra ->  Triangles -> SOLUTION: In triangle QRS, the measure of angle Q = X, the measure of angle R = (8X-40), and the measure of angle S = 2x. What type of triangle is triangle QRS? 1) isosceles 2) right 3      Log On


   

Question 389743: In triangle QRS, the measure of angle Q = X, the measure of angle R = (8X-40), and the measure of angle S = 2x. What type of triangle is triangle QRS?
1) isosceles
2) right
3) obtuse
4) acute
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

ΔQRS

Question States, angles are x ,2x and (8x-40):

 x + 2x + (8x -40) = 180

Solving for x

         11x = 220

           x = 20°

Angles for ΔQRS  are 20°,40°,120°

by Definition ΔQRS is an obtuse triangle