The interior angles of a triangle are (5x + 5)º, (4x)º, and (4x -20)º. What are the angles? Enter your answer with the lowest degree/middle degree/highest degree example; 30/60/90

Question

The interior angles of a triangle are (5x + 5)º, (4x)º, and (4x -20)º. What are the angles?

Enter your answer with the lowest degree/middle degree/highest degree  example; 30/60/90

Answer 1

All of the angles in a triangle must add up to be 180 degrees.

(5x+5)+(4x)+(4x-20)=180

Since nothing is happening to the parentheses, we can get rid of them.

5x+5+4x+4x-20=180

Combine like terms.

13x-15=180

Isolate the variable.

13x=195

13x/13=195/13

x=15

The question still isn't answered at this point, we need the measures of the angles. We now know the x though so we can just plug it in.

[5(15)+5]=80 degrees

[4(15)]=60 degrees

[4(15)-20]=40 degrees

So your answer would be 40/60/80.

Answer 2

Hi Tim,

The sum of the three angles in a triangle equal 180 degrees.

5 x + 5 + 4 x + 4 x -20 = 180

Solving

13 x -15 = 180

13 x = 195 ( I used the additive inverse to get the variable by itself.)

x = 15

first angle is 80

second angle is 60

and the third is 40

so the order is 40 - 60 - 80

I hope this helps