The ratio of the measures of three angles of a triangle 5: 7: 8. find the measure of each angle of the triangle

Step-by-step explanation: In this problem, we are given that the measures of the angles of a triangle are in the ratio 5:7:8 and we are asked to find the measure of each angle.

When the ratio of the angles is 5:7:8, we can represent the angles as 5x, 7x, and 8x.

5x ⇒ first angle

7x ⇒ second angle

8x ⇒ third angle

Since the measures of the angles of a triangle add to 180°, we can set up an equation.

5x + 7x + 8x = 180

20x = 180

÷20   ÷20

  X = 9

Now to find the measures of each of our angles, we simply plug 9 back in for x.

5x ⇒ first angle = 45°

7x ⇒ second angle = 63°

8x ⇒ third angle = 72°