a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force FA→ of magnitude 212 N, and Charles pulls with force FC→ of magnitude 177 N. Note that the direction of FC→ is not given. What is the magnitude of Betty's force FB→ if Charles pulls in the direction drawn in the picture?

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