Two blocks of mass mA and mB are connected to each other and to center O by ropes

answer:

the value of v is 6° and the value of w is 15°

step-by-step explanation:

we know that

when parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure

so

5v=2w > equation a

10w+5v=180 > equation b

substitute equation a in equation b and solve for w

10w+(2w)=180

12w=180

w=15°

find the value of v

5v=2w > v=2w/5

v=2(15)/5=6°

therefore

the value of v is 6° and the value of w is 15°