Question

the measure of \\( \angle adc \\) is \\( 165 ^ { \circ } \\). what is the value of x?

Explanation:

Step1: Set up the equation

From the figure, we know that \(33 + 4x=165\) (sum of angles at a point).

Step2: Solve for \(x\)

Subtract 33 from both sides: \(4x = 165 - 33\).
So, \(4x=132\).
Divide both sides by 4: \(x=\frac{132}{4}\).

Answer:

\(x = 33\)