How to find t1,t2 when only given t3

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To find the magnitudes of vectors T1 and T2 given T3 = 127.4 and their angles, one must apply vector resolution into components. T1, at 37 degrees northwest, and T2, at 53 degrees northeast, can be expressed in terms of their x and y components. The sum of these components must equal zero, as the vectors are in equilibrium. Additionally, the angle between T1 and T2 can be determined using trigonometric relationships. Understanding vector components and equilibrium conditions is crucial for solving this problem effectively.
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Homework Statement



Determine the magnitude of vectors T1
& T2 such that the sum of all the
vectors is zero.
Use T3 = 127.4


Homework Equations





The Attempt at a Solution



I tried to plot it out and stuff but I never worked with these kinds of problems what is a good way to solve for t1 and t2 when only given the angles. t1 angle = 37 degrees north west, and t2 angle is 53 degrees north east? while t3 has no angle given just it's magnitude which is 127.4 how would I solve? for t1 and t2's magnitude using the information listed?
 
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From the given data can you find the angle between T1 and T2?
Do you know how to find the components of vector along the resultant?
 

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