Question

Lines m and n are parallel. What is the measure of angle 5?

42
48
132
180

Answer 1

∠5 = 48°

Explanation:

Since we are given that m is parallel to n

Refer the attached figure

Since ∠8 = 132°

And ∠8 = ∠4 (alternate interior angles are equal)

Thus ∠4 = 132°

Now, ∠4+∠5=180° (sum of linear pairs is 180°)

⇒132°+∠5=180°

⇒∠5=180°-132°

⇒∠5=48°

Hence ∠5 = 48°

Answer 2

48

Explanation:

Since there are parallel lines cut by a transversal then 132 + angle 7 = 180 since they are same side interior angles. This means angle 7 is 48. Since angle 7 is congruent to angle 5 by vertical angle theorem then angle 5 is also 48 degrees.