m∠DBA=(x+10)∘and m∠EBC=(2x+8)∘, 

find the value of x such that BD | BE. 

Step 1: Understand the relationship

If BD | BE, then the angle between them is a right angle:

m∠DBA+m∠EBC=90∘ 

Step 2: Set up the equation

(x+10)+(2x+8)=90 

Step 3: Combine like terms 

3x+18=90 

Step 4: Solve for x

3x=90−18 

Final Answer: 

72 divided by 3 =24