Question

what is cd? cd = submit

Explanation:

Step1: Apply the Angle - Angle - Side (AAS) Congruence Theorem

Since \( \angle CBD=\angle ABD = 65^{\circ}\), \( \angle BCD=\angle BAD = 90^{\circ}\), and \( BD = BD\) (common side), triangles \(BCD\) and \(BAD\) are congruent by AAS.

Step2: Use the property of congruent triangles

In congruent triangles \(BCD\) and \(BAD\), corresponding sides are equal. So \(CD = AD\).

Step3: Substitute the value of \(AD\)

Given \(AD = 35\), then \(CD=35\).

Answer:

\(35\)