Lines m and n are parallel. What is the measure of angle 5?
42
48
132
180
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Answer:
∠5 = 48°
Step-by-step 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:
48
Step-by-step 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.