Question

The ratio of the angle measures in triangle BCR is 2:3:4. find the angle measures

Answer 1

40:60:80 (in accordance with 2:3:4, respectively)

Explanation:

To solve this problem, we need to change the integers within the ratio to coefficients for new variables.

1) Convert 2:3:4 to 2x:3x:4x.

2) Add all of the variables and coefficients together (2x + 3x + 4x). We should end up with 9x in total.

3) Set the 9x equal to 180°, so 9x = 180° (180° being the number of degrees within a triangle).

4) Simplify this equation (180/9, 9x/9). We should get x = 20.

5) Substitute the x = 20 into the variables that we changed within the ratio, so 2(20):3(20):4(20). As a result, we get 40:60:80.

Since these angle measures successfully add up to 180° (40 + 60 + 80), we know we solved this problem successfully.

Answer 2

40, 60, 80

Explanation:

The sum of angles in all triangles is 180 degrees (assuming you are talking about Euclidean geometry). If 2:3:4 is the ratio then

2x + 3x + 4x = 180

9x = 180

x = 20

Now that we now what x is, we can find the respective angles by plugging the value of x in. The angles are 40, 60, and 80 respectively.