Question

one angle of a triangle is 15 degrees greater than the smallest angle, and the third is 35 degrees less than twice the smallest. find the measurements


smallest- ?
second angle- ?
third angle ?

Answer 1

since the smallest angle was mentioned in both...let x = smallest

one angle = 15 + x
third angle = 2x - 35

these three must equal 180 so...

x + 15 + x + 2x - 35 = 180

ill let you do the rest :D

Answer 2

draw a picture



then using angle sum of a triangle

2x - 35 + x+15 + x = 180

4x - 20 = 180

I'll let you solve the equation which will give the size of the smallest angle... you'll need to work out the other 2... just look at the diagram