Use the diagram shown. Solve for x. Find the angle measures to check your work.

Question

Use the diagram shown. Solve for x. Find the angle measures to check your work.	D	A	B	C	O
m∠AOB=​(6x−8​)°
m∠BOC=​(2x+11​)°
m∠COD=​(4x+8​)°

x=nothing

m∠AOB=nothing°

m∠BOC=nothing°

m∠COD=nothing

Answer 1

without some visual clue, this would be guesswork.

are any of the angles linear pairs? if so, add the algebraic expressions and set them equal to 180, then use your algebra superpowers to combine like terms and solve the resulting equation for x.

after you solve for x, you can substitute the value of x back into each angle's expression and find what each angle's measure is.