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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