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Z1gZag

Answer:

Ok, So....

Step-by-step explanation:

Since m3=74 that must mean that m4 and m1 are 74 because they are vertical angles. and since m2 is a vertical angle of m1 it is also 74. Then you have m8 m6 m7 m5 which are suplementary to them meaning they sum to 180 and since m3+m8=180, 74+m8=180. m8=180-74.

m8=m7=m6=m5= 106

I hope this helped!

abidemiokin

The point where two lines meet is known as an angle.

From the diagram shown, we can see that l is parallel to m

Given

  • m<3 = 74

Based on geometry:

m<3 = m<4 = 74 degrees (vertically opposite)

m<3 = m<1 = 74 degrees (corresponding angles)

m<1 = m<2 = 74degrees (vertically opposite angles)

m<1 and <6 are supplementary, that is:

m<1 + m<6 = 180

74 + m<6 = 180

m<6 = 180 - 74

m<6 = 106degrees

Similarly:

m<2 and <5 are supplementary, that is:

m<2 + m<5 = 180

74 + m<5 = 180

m<5 = 180 - 74

m<5 = 106degrees

Also, m<4 and <7 are supplementary, that is:

m<4 + m<7 = 180

74 + m<7 = 180

m<7 = 180 - 74

m<7 = 106degrees

m<7 = m<8 = 108 degrees (vertically opposite angles)

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