Lines L and M are parallel.
Find : m_5
Enter the number that
belongs in the green box.

m∠5 = 142°

Solution:

Line l and m are parallel.

Sum of the adjacent angles in a straight line is 180°.

⇒ 38° + m∠7 = 180°

⇒ m∠7 = 180° – 38°

⇒ m∠7 = 142°

∠5 and ∠7 are corresponding angles.

If two parallel lines are cut by a transversal, then the corresponding angles on the same side are congruent.

⇒ ∠5 ≅ ∠7

⇒ m∠5 = m∠7

⇒ m∠5 = 142°

Therefore m∠5 = 142°.

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