Mathematics

Two parallel lines $$l$$ and $$m$$ are cut by a transversal $$t$$. If the interior angles of the same side of $$t$$ are $$(2x-8)^\circ$$ and $$(3x-7)^\circ$$, find the measure of each of these angles.


SOLUTION
Using the property of interior angles on same sides
$$\begin{array}{l}2x - 8 + 3x - 7 = 180\\5x - 15 = 180\\x = {39^ \circ }\\2x - 8 = 2 \times 39 - 8 = 70\\3x - 7 = 3 \times 39 - 7 = 110\end{array}$$
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Subjective Medium Published on 09th 09, 2020
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