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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