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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