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If Lines M and L are parallel, and angle 1 is 110 degrees, what are the measures of all 7 other angles.

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If Lines M and L are parallel, and angle 1 is 110 degrees, what are the measures of-example-1
User Zibellino
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2 Answers

3 votes
Angle 1 = 110
Angle 2 = 70
Angle 3 = 110
Angle 4 = 70
Angle 5 = 70
Angle 6 = 110
Angle 7 = 70
Angle 8 = 110
User Noinput
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5 votes

Solution:

we are given with a diagram in which we have

Lines M and L are parallel, and angle 1 is 110 degrees.

we have been asked to find the measures of all 7 other angles.

as we know when a straight line intersect a pair of parallel lines then their corresponding and alternate angles are equal so


<1=<3=<8=<6=<8=110^o

Also
<2=<4=<5=<7\\

Also
<1+<2=180^o\\\\\Rightarrow <2=180-110=70^o\\\\<2=<4=<5=<7=70^o\\



User Keremispirli
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