Question

b. find the value of the variable.
(3x + 1)° (x - 5)°

Explanation:

Step1: Identify angle relationship

The two angles form a linear pair, so their sum is \(180^\circ\). Thus, \((3x + 1) + (x - 5) = 180\).

Step2: Simplify the equation

Combine like terms: \(3x + x + 1 - 5 = 180\) → \(4x - 4 = 180\).

Step3: Solve for \(x\)

Add 4 to both sides: \(4x = 184\). Divide by 4: \(x = 46\).

Answer:

\(x = 46\)