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Pls help BYU question Geometery Transversal,parallel lines

Pls help BYU question Geometery Transversal,parallel lines-example-1
User Natalya
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2 Answers

5 votes

Answer:

40°

Explanation:

Angle 6 = 180 - Angle 3

Angle 6 = 180 - 40 = 40

(Supplementary angles)

Angle 20 = Angle 6 = 40°

(Alternate angles)

Angle 18 = Angle 20 = 40°

(Vertically opposite angles)

User Ted Dziuba
by
3.3k points
7 votes

Answer:

<18 = 40

Explanation:

<3 = <19 since they are alternate exterior angles and alternate exterior angles are equal for parallel lines cut by a transversal

<19 = 140

<19+<18 = 180 since they form a straight line

140 + <18 = 180

Subtract 140 from each side

140-140 + <18 = 180-140

<18 = 40

User Ed Ost
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3.2k points