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Use the figure at the right and the given information to tell wether line m and n are parallel number 11.

Use the figure at the right and the given information to tell wether line m and n-example-1

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11. ∠7≅∠3 is true because alternate interior angles of two parallel lines cut by a transversal line are congruent.

12.∠7≅∠6 is not true because these two angles are supplementary to each other which means ∠7 + ∠6 = 180 degrees.

13. ∠3 and ∠1 are corresponding angles and corresponding angles are congruent.

m∠3 = m∠1

15x + 22 = 19x - 10

15(8) + 22 = 19(8) - 10

120 + 22 = 152 - 10

142 = 142

Since both m∠3 and m∠1 gave us the same measure of the angle which is 142 degrees, this proves that corresponding angles in this figure are congruent. Therefore, #13 is true.

Since ∠7≅∠3 and m∠3 = m∠1, lines m and n are parallel.

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