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  • 06-07-2017
  • Mathematics
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Given, line l and line m are parallel. If m∠1 = 60°, and m∠2 = 125°, what is m∠3?
95°
105°
115°
125°

Given line l and line m are parallel If m1 60 and m2 125 what is m3 95 105 115 125 class=

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Аноним Аноним
  • 14-07-2017
Refer to the figure shown below.

Because the sum of angles on a straight line is 180°, therefore
m∠2 + m∠x = 180°
125° + m∠x = 180°
m∠x = 180 - 125 = 55°

Because the sum of angles in a triangle is 180°, therefore
m∠1 + m∠x + m∠y = 180
60 + 55 + m∠y = 180
m∠y = 180 - 60 - 55 = 65°

Because the sum of angles on a straight line is 180°, therefore
m∠3 + m∠y = 180
m∠3 + 65 = 180
m∠3 = 180 - 65 = 115°

Answer:  m∠3 = 115°

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