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djtwinx017

Answer:

m < 2 = 137°

m < 4 = 137°

Step-by-step explanation:

Given that m < 7 = 43°, we can say that it has the same measure as < 3 because they are corresponding angles. Thus, we can establish that m < 3 = 43°.

We can use m < 3 = 43° to find m < 4, as they are supplementary angles that have a sum of 180°.

Therefore:

m < 3 + m < 4 = 180°

Rearrange the formula to isolate m < 4:

m < 4 = 180° - m < 3

Substitute the value of m < 3 into the rearranged formula:

m < 4 = 180° - m < 3

m < 4 = 180° - 43°

m < 4 = 137°

Therefore, m < 4 = 137°.

< 2 and < 4 also have the same measure because they are vertical angles.  Two angles are vertical angles if they are opposite angles formed by the intersection of two lines.  

Hence, m < 2 = 137°

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