Mathematics

The difference between the supplement of an angle and the angle is $$36^{\circ}$$. The supplement is:


ANSWER

$$108^{\circ}$$


SOLUTION
Let the supplement be $$x$$
Sum of supplementary angles is $${ 180 }^{ \circ  }$$
$$\therefore x+{ 36 }^{ \circ  }={ 180 }^{ \circ  }\\ \Rightarrow x={ 144 }^{ \circ  }$$
Difference between supplement and given angle $$={ 144 }^{ \circ  }-{ 36 }^{ \circ  }={ 108 }^{ \circ  }$$
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