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Congrueny of Triangles

In figure , ...

Question

In figure , $∠ R S T = 56^{\circ}$ , seg $P T ⊥$ ray $S T$ , seg $P R ⊥$ ray $S R$ and seg $P R ≅$ seg $P T$
Find the measure of $∠ R S P$ .State the reason for your answer

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Solution

$P R = P T$
$∠ P T S = ∠ P R S$
$P S = P S$
by RHS criteria triangles are similar
$∠ T S P = ∠ R S P$
so $∠ R S P = 28$

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∠ R S T = 56^{\circ},

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Points	P	Q	R	S	T
Co-ordinates	-3	5	2	-7	9

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In adjoining figure, $P S ⊥ R Q$ and $Q T ⊥ P R$ . If $R Q = 6, P S = 6$ and $P R = 12$ , then Find $Q T$ .

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