The second angle in a triangle is 3° less than twice the first angle. The third angle measures 8° more than twice the first angle

Question

I don't even know where to begin

Answer 1

Hi, Aerial!

 

Okay, this is not as complicated as it sounds.

First, we'll set up variables for the angles.

Let X = first angle

Then the second angle is 3 degrees less than twice the first so,

2X-3 = 2nd angle

Then the 3rd angle is 8 degrees more than twice the first angle so,

2X+8

 

Okay, now we know that the 3 angles of a triangle add to 180 degrees so:

 

X + 2X - 3 + 2X + 8 = 180

5X +5 = 180

5X = 175

X = 35

 

Now, we substitute to solve :

 

1st angle = 35 degrees

2nd angle = 67 degrees

3rd angle = 78 degrees

 

Now check:

35 + 67 + 78 = 180