Question

the figure is not drawn to scale. ∠acb is a right angle. find m∠bcd.
a 65° c
m∠bcd = ___ °
enter the answer

Explanation:

Step1: Recall angle - sum property

We know that \(\angle ACB = 90^{\circ}\) and \(\angle ACD=65^{\circ}\), and \(\angle ACB=\angle ACD + \angle BCD\).

Step2: Solve for \(\angle BCD\)

Using the equation \(\angle BCD=\angle ACB-\angle ACD\), substituting \(\angle ACB = 90^{\circ}\) and \(\angle ACD = 65^{\circ}\), we get \(\angle BCD=90^{\circ}- 65^{\circ}\).

Answer:

\(25\)