Question

Two parallel lines l and p are cut by a transversal t. The interior angles on the same side of the transversal are in the ratio 2:3. Find the measures of these angles

Answer 1

$given : ratio \: of \: interior \: angles \: are \: 2 : 3 \\ \\ to \: find : \\ measure \: of \: each \: angle \\ we \: know : \\ sum \: of \: interior \: angel \: is \: 180° \\ = >x = 2x + 3x = 180° \\ = > 5x = 180° \\ = > x = \frac{180 °}{5} \\ = > x = 36° \\ then \: putting \: value : \\ 2x = > 2 \times x = > 2 \times 36° \\ = 72° \\ 3x = > 3 \times x = > 3 \times 36° \\ = 108° \\ \\ hence \\ value \: in\: 2 : 3\: is \\ = > 2 = 72° \: and \: 3 = 108°$