Finding angles

Question

Two angles are adjacent and form an angle of 160°.thier difference is 34°find the angles

Answer 1

Let x and y be the two unknown angles:

Two angles are adjacent and form an angle of 160°:  x + y = 160

Their difference is 34°:  x - y = 34

 

x + y = 160

x - y  =  34

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2x     = 194

 

x = 97^o

 

x + y = 160

97 + y = 160

y = 63^o