Chapter 1.7, Problem 35E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 27 to 35, complete the formal proof of each theorem.*

The supplement of an acute angle is an obtuse angle.

*(HINT: Use Exercise 28 of Section 1.4 as a guide.)*

To determine

**To find:**

The complete formal proof of the given theorem.

Explanation

**Given:**

The given statement is,

The supplement of an acute angle is obtuse angle.

**Approach:**

According to the given statement of theorem, make a drawing.

Figure (1)

From figure (1), it can be observed that given and prove for theorem is,

Given:

Prove:

The reasons for given statements is explained in table below.

Statements |
Reasons |

1. |
1. Given |

2. |
2. The sum of measures of supplementary angles |

3. |
3. Given |

4. Where |
4. |

5. |
5. Substitute x for |

6. |
6. Subtract x from both sides. |

7. |
7. Substitution |

8. |
8. Add |

9. |
9. If |

10. |
10. Substitute |

11. |
11 |

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