Fill in the blank. If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is ___ two right angles.

Equal to

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More than

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Less than

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Can't be determined

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Solution

The correct option is C Less than
The above scenario is shown in the picture above.
Note that $∠ x 1 + ∠ x 2 < 180$ because they are a part of a triangle whose third angle is still excluded.
Sum of angles is LESS THAN two right angles

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Fill in the blank. If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is ___ two right angles.

The correct option is C Less thanThe above scenario is shown in the picture above.Note that ∠x1+∠x2<180 because they are a part of a triangle whose third angle is still excluded.Sum of angles is LESS THAN two right angles

The correct option is C Less than
The above scenario is shown in the picture above.
Note that $∠ x 1 + ∠ x 2 < 180$ because they are a part of a triangle whose third angle is still excluded.
Sum of angles is LESS THAN two right angles