Use the Properties of Parallel Lines to Solve the Problem $\overline { \mathrm { AB } } \| \overline { \mathrm { CD } } , \mathrm { m } \angle \mathrm { ABC } = 65 ^ { \circ }$

question 141

Multiple Choice

Use the properties of parallel lines to solve the problem.
-In the figure, $\overline { \mathrm { AB } } \| \overline { \mathrm { CD } } , \mathrm { m } \angle \mathrm { ABC } = 65 ^ { \circ }$ . Find the measures of angles $\angle \mathrm { ABE } , \angle \mathrm { FCD }$ , and $\angle \mathrm { BCD }$ .

• A) \(m \angle B C D = m \angle A B E = m \angle F C D = 25 ^ { \circ }\)
• B) \(\mathrm { m } \angle B C D = m \angle A B E = 65 ^ { \circ } , m \angle F C D = 115 ^ { \circ }\)
• C) \(m \angle B C D = 65 ^ { \circ } , m \angle A B E = m \angle F C D = 115 ^ { \circ }\)
• D) \(m \angle B C D = 65 ^ { \circ } , m \angle A B E = m \angle F C D = 25 ^ { \circ }\)

---

Definitions:

Short-Term Interests

Interests or goals that focus on immediate or near-future benefits rather than long-term outcomes.

Business Customers

Entities, such as companies or professionals, that purchase goods or services for commercial purposes, not for personal consumption.

Managing Through People

Achieving objectives by working effectively with and through the people in an organization.

New Public Service

A modern approach to public administration that emphasizes serving citizens and addressing their needs and preferences.