Question

solve for the value of b.
(2b+4)°
(3b+1)°

Explanation:

Step1: Identify angle relationship

The two angles form a linear pair, so their sum is \(180^\circ\). Thus, \((2b + 4) + (3b + 1) = 180\).

Step2: Combine like terms

Combine the \(b\)-terms and constants: \(5b + 5 = 180\).

Step3: Solve for \(b\)

Subtract 5 from both sides: \(5b = 175\). Divide by 5: \(b = 35\).

Answer:

\(b = 35\)