Answer: 73∘.
Step-by-step explanation: With supplementary angles, the two angles have to add up to 180∘. According to the question, the measure of <F is 107∘. What we need to do is make <E and <F add up to 180∘. To do this, we can subtract 107∘ from 180∘ to find <E:
180∘ - 107∘ = 73∘, which means that <F is 107∘ and <E is 73∘, which both make 180∘.
Therefore, <E is 73∘.
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