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Mathematics 11 Online
randogirl123:

How do I solve this with transversals?

randogirl123:

pls helpss

Luigi0210:

Some important info you might need: - Lines add up to 180 degrees. - Transversal usually implies parallel lines, so there will be corresponding, alternating interior/exterior angles.

Luigi0210:

So you are given two angles, m<2 = 97 and m<6 = 83 With this info, you find the rest of the angles with simple addition and subtraction, since all lines have angles of 180. Starting with m<1 and m<2: m <1 +97 = 180 m<1 = 83. Since you're looking for m<3, you could say that m<2 and m<3 are vertical angles, hence are congruent, so m<3 is also 97 degrees.

Luigi0210:

When it comes to angles 2 and 10, they are considered corresponding angels, so they are also congruent. Meaning m<10 is also 97 degrees, m<9 is corresponding to m<1, which we solved earlier, so m<9 is 83 degrees.

Luigi0210:

You can apply this same logic to the second pair of angles, so let me know if you need additional assistance or need a check.

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