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Every proof needs Given and Prove statements. Use the endpoints on the diagram to write a Given statement indicating the down tube is longer than the top tube. Prove the relationship between the opposite angles of the given sides.

Every proof needs Given and Prove statements Use the endpoints on the diagram to write a Given statement indicating the down tube is longer than the top tube Pr class=

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Answer:

Down tube AC > top tube AB, In A triangle, side opposite greater angle is greater.

Step-by-step explanation:

1. Top tube AB, down tube, AC, and seat tube, BC form a triangle,  1 Given

3. Segment AB = Segment AX,     3. Definition of isosceles triangle

4. m∠1 = m∠2,                            4. Base angles of an isosceles triangle

5. m∠2 = m∠3 + m∠C,               5. External angle of a triangle is equal to the sum of the two interior opposite angles

6. m∠1 = m∠3 + m∠C,                 6. Substitution

7. m∠B = m∠1 + m∠3,                   7. Angle addition postulate

8. m∠B = m∠3 + m∠3 + m∠C,      8. Substitution

9. m∠B > m∠C,                              9. Definition of greater than  

Down tube AC > top tube AB, In A triangle, side opposite greater angle is greater.

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