Which of the following statements is/are not true? I. The sum of angles 1 & 2 is equal to 180°. II. The sum of angles 4 and 7 is less than 180°. III. The sum of angles 3 and 5 is greater than 180°. O None of the statements O Statement III only O Statements I, II, and III O Statements Il and III only O Statements l and Il only O Statements I and III only O Statement I only O Statement Il only

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.2: Indirect Proof
Problem 11E: Which of the following statements would you prove by the indirect method? a In triangle ABC, if...
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Refer to the figure below. Make use of Euclid's axioms and postulates.
Line AB crosses lines CD and EF.
Angles 1, 2, 3, and 4 are the angles formed by intersecting lines AB & CD. Angle 2 is greater than 90°.
Angles 5, 6, 7, and 8 are the angles formed by intersecting lines AB and EF. Angle 7 is a right angle.
Which of the following statements is/are not true?
I. The sum of angles 1 & 2 is equal to 180°.
II. The sum of angles 4 and 7 is less than 180°,
III. The sum of angles 3 and 5 is greater than 180°.
O None of the statements
O Statement Ill only
O Statements I, II, and III
O Statements Il and II only
O Statements I and Il only
O Statements I and III only
O Statement I only
O Statement IIl only
Transcribed Image Text:Refer to the figure below. Make use of Euclid's axioms and postulates. Line AB crosses lines CD and EF. Angles 1, 2, 3, and 4 are the angles formed by intersecting lines AB & CD. Angle 2 is greater than 90°. Angles 5, 6, 7, and 8 are the angles formed by intersecting lines AB and EF. Angle 7 is a right angle. Which of the following statements is/are not true? I. The sum of angles 1 & 2 is equal to 180°. II. The sum of angles 4 and 7 is less than 180°, III. The sum of angles 3 and 5 is greater than 180°. O None of the statements O Statement Ill only O Statements I, II, and III O Statements Il and II only O Statements I and Il only O Statements I and III only O Statement I only O Statement IIl only
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