An angle is $\frac{3}{7}$ times its supplementary angles. Find the angle.
Answer & explanation
Correct answer: option 1
Let A and B are two angles .
A and B are supplementary angles iff
A + B = 180º
According to question ,
B = \(\frac{3}{7}\)A
A + \(\frac{3}{7}\)A = 180º
\(\frac{10}{7}\)A = 180º
A = 126º
The required angle is B = 180º - 126º = 54º