Mathematics

Two angles measure $(30-a)^0$ and $(125+2a)^0$. If each one is the supplement of the other, then the value of a is :

$25^0$

SOLUTION
If angles are supplement then their sum is ${ 180 }^{ \circ }$
$\therefore 30-a+125+2a={ 180 }^{ \circ }\\ \Rightarrow 155+a={ 180 }^{ \circ }\\ \Rightarrow a={ 180 }^{ \circ }-{ 155 }^{ \circ }\\ \Rightarrow a={ 25 }^{ \circ }$

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Single Correct Medium Published on 09th 09, 2020
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