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In the figure below, m 4 = 47°. Find m 1, m 2, and m 3.

In the figure below, m 4 = 47°. Find m 1, m 2, and m 3.-example-1

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Answer:

m<1 = 133°; m<2 = 47°; m<3 = 133°

Explanation:

<4 and <2 are vertical angles.

m<2 = m<4 = 47°

<4 and <1 form a linear pair.

m<1 + m<4 = 180°

m<1 + 47° = 180°

m<1 = 133°

<1 and <3 are vertical angles.

m<3 = m<1 = 133°

Answer: m<1 = 133°; m<2 = 47°; m<3 = 133°

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