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Which statement can be made based on the diagram below?

1) Lines crossing at points
2) m∠2 + m∠3 = 180
3) m∠1 + m∠2 = 180
4) Cannot be determined

User Syclone
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1 Answer

4 votes

Final answer:

Without the diagram, it is impossible to confirm which statements are accurate regarding the angle measurements. However, generally, if angles form a straight line, their measures would add up to 180 degrees, but without the diagram, 'Cannot be determined' is the safest choice.

Step-by-step explanation:

The student's question revolves around a geometrical diagram and the possible deductions that can be made from it.

Unfortunately, the diagram is not provided, which means that the precise answer cannot be determined.

However, general principles can be applied based on the statements provided:

Statement 1: Lines crossing at points is typically not a complete statement but could be referencing an aspect of the diagram showing intersection points, which are where two lines meet.

Statement 2: m∠2 + m∠3 = 180 usually indicates that angles 2 and 3 are supplementary angles which add up to 180 degrees. This is true of a linear pair of angles, formed when two lines intersect.

Statement 3: m∠1 + m∠2 = 180 also describes two angles that might be supplementary if they form a linear pair.

Statement 4: Cannot be determined might be the most accurate answer given that we don't have the diagram to make any definitive conclusions.

Without being provided with the diagram, the most logical choice is statement 4.

However, if the diagram shows angles 2 and 3 forming a straight line, then statement 2 would be the correct choice based on the principle that a straight line measures 180 degrees.

Which statement can be made based on the diagram below? 1) Lines crossing at points-example-1
User Avyaan
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