An exterior angle is 114° and the interior opposite angles differ by 20° , find all the angles of the triangle
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let the int. angles be a and b ..
a-b =20....given
a=20+b....(i)
a+b=114......by ext. angle theorem
a=114-b......(ii)
from(i) and (ii)
20+b=114-b
b+b=114-20
2b=94
b=47
the angles are 47 and 67
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