If $∠ 1 = ∠ 2$ , then find the value of y

45^{o}

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60^{o}

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{22.5}^{o}

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{12.5}^{o}

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Solution

The correct option is D ${22.5}^{o}$
$4 x = 60$
$4 = 15$
by property
$∠ 1 = ∠ 4$
$4 x = x + 2 y$
$3 x = 2 y$
$2 y = 3 \times 15$
$y = \frac{45}{2} ≅ 22.5$

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