Question

Are the two lines be parallel if their interior angles on same side of transversal are 45° and 135° ? why?​

Answer 1

Step-by-step explanation:

et the angles be 2x and 3x

Sum of angles on the same side of transversal intersecting two parallel lines is 180

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⇒2x+3x=180

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⇒5x=180

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⇒x=36

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So the angles are

2x=2×36

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=72

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3x=3×36

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=108

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So the smaller angle is 72

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Answer 2

Answer:

the interior angles on the same side of the transversal are supplementary. If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.

Step-by-step explanation:

Angles F and B in the figure above constitutes one of the pairs. Corresponding angles are congruent if the two lines are parallel. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.