Question

Find the value of x and y of a triangle ABC~PQR in the following figures

Answer 1

$Given ,\: \triangle ABC \sim \triangle PQR$

$i ) From \: Figure . 14.22$

$\triangle ABC \sim \triangle PQR$

$\angle B = \angle Q = 70 \degree$

$\blue { ( Corresponding \:angles \:are \: equal )}$

$\implies x = \angle B = 70\degree$

$\angle C = \angle R = 50 \degree$

$\implies y = \angle R = 50 \degree$

$ii) From \: Figure . 14.23$

$\triangle ABC \sim \triangle PQR$

$\frac{BC}{QR} = \frac{CA}{PQ}$

$\blue { Corresponding \:sides \:are \: proportional )}$

$\implies \frac{x}{4} = \frac{3}{6}$

$\implies x = \frac{4 \times 3}{6}$

$\implies x = 2 \: cm$

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Answer 2

Answer:

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