In a triangle, we can relate the angles with their opposite side: the wider angle will have the largest side as opposite side.
This can be applied to the narrower angle: will have the shortest sides as opposite.
In this case, the largest side is AB, so the wider angle is at vertex C and will have a measure of 77 degrees.
In the same way, the shortest side is BC, so the narrower angle is at vertex A and will have a measure of 45 degrees.
Then, vertex B will have a measure of 58 degrees.
Answer:
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