Question

consider the diagram. points j and z lie on a line, and points r and l lie on another line, intersecting at point a. one angle at a is 106°, and the adjacent angle is x°. determine the value of x. answer: x = \boxed{}

Explanation:

Step1: Identify angle relationship

The angles \(106^\circ\) and \(x^\circ\) are supplementary (they form a linear pair, so their sum is \(180^\circ\)).

Step2: Solve for \(x\)

Using the supplementary angle formula: \(x + 106 = 180\). Subtract \(106\) from both sides: \(x = 180 - 106\).
\(x = 74\)

Answer:

\(x = 74\)