Question

The ratio of the measures of the angles of a triangle is 7:5:8. What is the measure of the largest angle

Answer 1

72° is the largest angle, 63°, 45°

Explanation:

7x + 5x + 8x = 180

20x = 180

20x/20 = 180/20

x = 9

I set the equation equal to 180 because there are 180 degrees in a triangle.

Now find the largest angle, which will be the 8x, since 8 is bigger than 5 and 7.

8x

8(9)

72° is the largest angle

If you need the other two angle measures:

7x

7(9)

63°

5x

5(9)

45°