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Step-by-step explanation:
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Step-by-step explanation:
Given,
Sin(A+B+C) =1 = sin 90
A+B+C = 90 ----> 1
Tan (A - B) = 1/√3 = Tan 30
A - B = 30 ------> 2
Sec (A + C) = 2 = Sec 60
A + C = 60 ------->3
Now,
Subtract 1 and 3 equations
A + B + C - A - C = 90 - 60
B = 30
substitute B = 30 in equation 2
A - 30 = 30
A = 60
Substitute A = 60 in equation 3
60 + C = 60
C = 0
The angles are A = 60, B = 30, C = 0
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