Lines m, l, and n are cut by transversal t. At the intersection of lines m and t, the uppercase left angle is angle 1 and the uppercase right angle is angle 2. At the intersection of lines n and t, the uppercase left angle is angle 3. Lines l, m, and n lie in a plane and are cut by a transversal, t. ∠1 is supplementary to ∠2, and ∠2 is supplementary to ∠3. Which lines, if any, are parallel? What justifies your answer?

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HafsaM HafsaM · Answer 2 · 2022-06-28T20:16:33+02:00

Yes, ∠1 is supplementary to ∠2.

What supplementary angle?

The Sum of all angles in a straight line equals 180°.

What is transversal?

The definition of a transversal is a line that intersects a system of lines. A line that cuts across a series of two parallel lines is an example of a transversal.

What is the complementary angle formula?

The 2 angles, say ∠X and ∠Y are complementary if, ∠X + ∠Y = 90° In this sort of situation ∠X is known as the complement of ∠Y and vice-versa. In a right angle triangle, because the measure of the right angle is fixed, the last angles always shape the complementary because the sum of angles in a triangle is the same as 180°

∠2 is complementary to ∠3.

The explanation is shown in the diagram.

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