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

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Using the property of interior angles on same sides
$\begin{matrix} 2 x - 8 + 3 x - 7 = 180 5 x - 15 = 180 x = 39^{\circ} 2 x - 8 = 2 \times 39 - 8 = 70 3 x - 7 = 3 \times 39 - 7 = 110 \end{matrix}$

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

Using the property of interior angles on same sides
$\begin{matrix} 2 x - 8 + 3 x - 7 = 180 5 x - 15 = 180 x = 39^{\circ} 2 x - 8 = 2 \times 39 - 8 = 70 3 x - 7 = 3 \times 39 - 7 = 110 \end{matrix}$