Question

MZAOB = (8x - 5)°
mZBOC = (5x+15)°
mZCOD=(5x+10)°

Answer 1

Explanation:

To find the value of x, we can set up an equation based on the given angle measures:

m∠AOB = (8x - 5)°

m∠BOC = (5x + 15)°

m∠COD = (5x + 10)°

Since the sum of the angles in a triangle is 180°, we can set up the equation:

m∠AOB + m∠BOC + m∠COD = 180°

Substituting the angle measures:

(8x - 5) + (5x + 15) + (5x + 10) = 180

Simplifying the equation:

8x - 5 + 5x + 15 + 5x + 10 = 180

18x + 20 = 180

Subtracting 20 from both sides:

18x = 160

Dividing both sides by 18:

x = 160/18

x ≈ 8.89

So, the value of x is approximately 8.89.