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Vertically Opposite Angles

What is the v...

Question

What is the value of angle $γ$ ?

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Solution

REF.Image
$∠ x = 5 y$ (vertically opposite angle)
$∠ z = 2 y$ (vertically opposite angle)
$∠ x + ∠ z + 5 y = 180^{\circ}$ (linear pair)
$5 y + 2 y + 5 y = 180^{\circ}$
$12 y = 180^{\circ}$
$y = \frac{180}{12} = 15^{\circ}$
$y = 15^{\circ}$

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