Question

geometry with statistics honors - ferraro - 2 - a
topic 4: readiness assessment
what is m∠bcd?
a. 22.62
b. 67.38
c. 90
d. 134.76

Explanation:

Step1: Note the property of angle - bisector

The dashed line from \(C\) to \(D\) is likely an angle - bisector of \(\angle ACB\). If \(\angle ACB = 134.76^{\circ}\), and the angle - bisector divides the angle into two equal parts.

Step2: Calculate \(m\angle BCD\)

Since \(\angle BCD=\frac{1}{2}\angle ACB\), then \(m\angle BCD=\frac{134.76^{\circ}}{2}=67.38^{\circ}\).

Answer:

B. 67.38