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In the following figure (ab)||(cd). Suppose that m<1=30.2. What are the measures of the other seven angles? Explain your reasoning.

In the following figure abcd Suppose that mlt1302 What are the measures of the other seven angles Explain your reasoning class=

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mathstudent55

Answer:

m<1 = m<3 = m<5 = m<7 = 30.2

m<2 = m<4 = m<6 = m<8 = 149.8

Step-by-step explanation:

m<1 = 30.2

By angles 1 and 2 being a linear pair and supplementary, you get:

m<1 + m<2 = 180

30.2 + m<2 = 180

m<2 = 149.8

By vertical angles and corresponding angles, you get:

m<1 = m<3 = m<5 = m<7 = 30.2

m<2 = m<4 = m<6 = m<8 = 149.8