Suggested languages for you:

Americas

Europe

Problem 12

If \(\angle \mathrm{x}\) has a measure of \(40^{\circ}\) and \(\angle \mathrm{y}\) has a measure of \(40^{\circ}\), prove $\mathrm{m} \angle \mathrm{x}=\mathrm{m} \angle \mathrm{y}$ using the standard two column proof method.

Expert verified

Using the given information and the standard two-column proof method, we can prove that the measure of angle x is equal to the measure of angle y as follows:
|#| Statement | Reason |
|:-|:-----------|:----------|
|1| m∠x = 40° | Given |
|2| m∠y = 40° | Given |
|3| m∠x = m∠y | Transitive Property of Equality|
Since both angles have a measure of 40°, by the transitive property of equality, m∠x must be equal to m∠y.

What do you think about this solution?

We value your feedback to improve our textbook solutions.

- Access over 3 million high quality textbook solutions
- Access our popular flashcard, quiz, mock-exam and notes features
- Access our smart AI features to upgrade your learning

Chapter 1

Identify the hypothesis and conclusion in the statement, "If Mary has a temperature, then she is probably sick."

Chapter 1

How may the following three statements be arranged so that the first two will make it possible to deduce the third? (a) An eagle has feathers, (b) All birds have feathers. (c) An eagle is a bird.

Chapter 1

Write the negation for each of the following statements, (a) I am Chinese, (b) He is not good, (c) John is unfriendly. (d) She is a thief and a liar, (e) Tom and Jerry pitch for the New York Mets, (f) You are very lucky or very smart.

Chapter 1

Identify the hypothesis and conclusion of the following statement: Two non- congruent angles are not vertical angles.

Chapter 1

Prove, by indirect method, that if two angles are not congruent, then they are not both right angles.

The first learning app that truly has everything you need to ace your exams in one place.

- Flashcards & Quizzes
- AI Study Assistant
- Smart Note-Taking
- Mock-Exams
- Study Planner