Question
In the adjoining figure, $p || q.$ Find the unknown angles.
✓
Answer
From the above figure, the unknown angles can be obtained as follows:
$\angle \mathrm{d}=125^{\circ}$ (Corresponding angles)
$\angle e=180^{\circ}-125^{\circ}=55^{\circ}$ (Linear pair)
$\angle \mathrm{f}=\angle \mathrm{e}=55^{\circ}$ (Vertically opposite angles)
$\angle \mathrm{c}=\angle \mathrm{f}=55^{\circ}$ (Corresponding angles)
$\angle \mathrm{a}=\angle \mathrm{e}=55^{\circ}$ (Corresponding angles)
$\angle \mathrm{b}=\angle \mathrm{d}=125^{\circ}$ (Vertically opposite angles)
$\angle \mathrm{d}=125^{\circ}$ (Corresponding angles)
$\angle e=180^{\circ}-125^{\circ}=55^{\circ}$ (Linear pair)
$\angle \mathrm{f}=\angle \mathrm{e}=55^{\circ}$ (Vertically opposite angles)
$\angle \mathrm{c}=\angle \mathrm{f}=55^{\circ}$ (Corresponding angles)
$\angle \mathrm{a}=\angle \mathrm{e}=55^{\circ}$ (Corresponding angles)
$\angle \mathrm{b}=\angle \mathrm{d}=125^{\circ}$ (Vertically opposite angles)
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