Question

Find the measures of the angles in each triangle
2xº
3x°
xº

Answer 1

2x = 60

3x = 90

x = 30

Explanation:

All triangles have 3 angles that add up to 180 degrees. We can use the information to create an equation.

Finding x

First, add all of the angles together and set them equal to 180

• 
  `2x+3x+x=180`

Next, combine like terms

• 
  `6x=180`

Finally, divide both sides by 6

• 
  `x=30`

Solve For Missing Angles

Now that we have x, we can solve from each of the missing angles. Do this by plugging in 30 for the x-values.

2x

• 
  `2(30)=60`

3x

• 
  `3(30)=90`

x

• 
  `30 = 30`

We can check our answers by adding all of these together. Because 60+90+30 equals 180, these answers must be correct.

Answer 2

x = 30°

The angles:

• 2x° = 60°
• 3x° = 90°
• x° = 30°

Explanation:

Hello!

The sum of all the angles in a triangle is 180°. So we can set up an equation for this question.

Solve the equation:

• 2x° + 3x° + x° = 180°
• 6x° = 180°
• x° = 30°

We can replace 30° for all the angles.

The measures are:

• 2(30°) = 60°
• 3(30°) = 90°
• 1(30°) = 30°