The second angle of a triangle is three times as large as the first. The measure of the third angle is 40 degrees greater than that of the first angle. Jow large are the three angles

Answer 1

First angle = 28 degrees

Second angle = 84 degrees

Third angle = 68 degrees

Since the angles in a triangle total 180 degrees

Let x = first angle

Let 3x = Second angle because it is 3 times as large as the first angle

Let x + 40 = Third angle because it is 40 degrees greater than the first angle

x + 3x + x + 40 = 180

Combine like terms

5x + 40 = 180

Subtract 40 from both sides of the equation

5x = 140

Divide both sides by 5

x = 28 degrees the first angle

3x = 84 degrees the second angle

x + 40 = 68 degrees the third angle

Checking

28 + 84 + 68 = 180

Answer 2

Hello,

First assign variables to each of the angle, and since you do not know the measure of the first angle let that angle equal x

Therefore:

<1 = x

<2 = 3x <----"the second angle of a triangloe is three times as large as the first."

<3 = x + 40 <----"The measure of the third angle is 40 degrees greater than that of the first."

Second, remember that the sum of all angles in a triangle must equal 180 degrees, therefore we can set up the following equation:

x + 3x + x + 40 = 180

5x + 40 = 180

5x = 140

x = 28 degrees

3x =

3(28) = 84 degrees

x + 40 =

28 + 40 = 68

Your angle measures are <1 = 28, < 2 = 84, <3 = 68 degrees.

Check our work:

28

84

68

----

180

Hope this helps and wishing you a great day!