Question

a straight line with two angles: (23x)° and 134°, forming a linear pair (supplementary angles).

Explanation:

Step1: Identify angle relationship

The two angles are supplementary (form a straight line), so their sum is \(180^\circ\).
\(23x + 134 = 180\)

Step2: Solve for \(x\)

Subtract 134 from both sides:
\(23x = 180 - 134\)
\(23x = 46\)

Divide both sides by 23:
\(x = \frac{46}{23}\)
\(x = 2\)

Answer:

\(x = 2\)