Question

Question was provided via image upload.

Explanation:

Step1: Identify the angle relationship

Since \(\angle DCB\) is a right angle (\(90^\circ\)), the sum of \(\angle x\) and \(35^\circ\) should equal \(90^\circ\). So the equation is \(x^\circ + 35^\circ = 90^\circ\).

Step2: Solve for \(x\)

Subtract \(35^\circ\) from both sides of the equation: \(x^\circ = 90^\circ - 35^\circ\). Calculating the right - hand side, we get \(x^\circ=55^\circ\).

Answer:

The first blank is \(x^\circ\), and the second blank is \(55^\circ\). So the equation is \(x^\circ + 35^\circ = 90^\circ\) and \(x = 55\).