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Linear Pair

Find the valu...

Question

Find the value of a,b,c and d.Give reasons for your answers.

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Solution

$b^{\circ} = 45^{\circ}$ (vertically opposite angles)
$a^{\circ} = 45^{\circ}$ (corresponding angles)
$c^{\circ} = a^{\circ} = 45^{\circ}$ (vertically opposite angles)
$c^{\circ} + d^{\circ} = 180^{\circ}$ (linear pair)
$d^{\circ} = 180^{\circ} - c^{\circ} = 180^{\circ} - 45^{\circ} = 135^{\circ}$

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