The angles of triangle abc are in the ratio of 8:3:4. what is the measure of all the angles?

48:18:24 or ∠A = 48, ∠B = 18, ∠C = 24

Step-by-step explanation:

Since The angles of a triangle add up to 90, then 8 + 3 + 4 should equal to 90 if multiplied by x.

Example:

x(8 + 3 + 4) = 90

x(15) = 90

15/15x = 90/15

x = 6

If x is equal to 6, then 6 times 8, 6 times 3, and 6 times 4, should equal their respective angles and add up to 90.

Example:

8 * 6 = 48

3 * 6 = 18

4 * 6 = 24

48 + 24 + 18 = 90

This means the angles are

48:18:24 or ∠A = 48, ∠B = 18, ∠C = 24

a. is correct