Mathematics

# Two angles measure  $\left( 55 ^ { \circ } + 3 a \right)$  and  $\left( 115 ^ { \circ } - 2 a \right) \cdot$  If each is supplement of the other, then calculate the value of  $a .$

##### SOLUTION
Given $(55^{\circ}+3 a),(115^{\circ}-2 a)$ are supplementary angles
$\implies 55^{\circ}+3 a+115^{\circ}-2 a=180^{\circ}$
$\implies 170^{\circ}+a=180^{\circ}$
$\implies a=180^{\circ}-170^{\circ}$
$\implies a=10^{\circ}$

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Subjective Medium Published on 09th 09, 2020
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