Question

The supplementary angles are differ by 25.find the angles

Answer 1

Let smaller angle be x
then larger angle will be x + 25
Sum of supplementary angles = 180°
A.T.Q.
x + x+25=180
=> 2x = 180 - 25
2x = 155
x = 77.5°
x+25= 77.5° + 25 = 102.5°


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Answer 2

supplementary angle = a+b=180
a-b=25
a=b+25
a+b=180
b+25+b=180
2b+25 =180
2b=155
b=155/2
»»a-b=180
b-155/2=180
a=180+155/2
a=360+155/2