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Elements Associated with a Triangle

If Δ ABC ≅Δ R...

Question

If $Δ A B C ≅ Δ R Q P$ , then $∠ P$ = _____ .

$∠ A$

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$∠ C$

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$∠ B$

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Both $∠ A$ and $∠ B$

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Solution

The correct option is B
$∠ C$

If two triangles are congruent, then their corresponding angles are equal.

Here, $Δ$ ABC $≅$ $Δ$ RQP
$∴$ $∠ A$ = $∠ R$
$∠ B$ = $∠ Q$
$∠ P$ = $∠ C$
So, option B is correct.

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Similar questions

Q. If

\vec{a}, \vec{b} and \vec{c}

are the position vectors of the vertices A, B and C respectively of a

∆ A B C such that |\vec{a} \times \vec{b} + \vec{b} \times \vec{c} + \vec{c} \times \vec{a}| = 20,

then area of

∆ A B C

is ____________.

Q. In a ∆ABC, if ∠A − ∠B = 42° and ∠B − ∠C = 21° then ∠B = ?
(a) 32°
(b) 63°
(c) 53°
(d) 95°
Figure

If the $∠$ A, $∠$ B and $∠$ C of $Δ A B C$ satisfy the relation $∠$ B - $∠$ A = $∠$ C - $∠$ B, then find the measure of $∠ B .$

$Δ A B C i s c o n g r u e n t t o Δ R Q P$ , that is $Δ A B C ≅ Δ R Q P$ . If $∠ C$ and $∠ P$ are the smallest angles in $Δ A B C$ and $Δ R Q P$ , then $∠ P = ?$

If $Δ A B C ≅ Δ R Q P$ , then $∠ P$ = _____ .

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If ΔABC≅ΔRQP , then ∠P = _____ .

The correct option is B ∠C If two triangles are congruent, then their corresponding angles are equal. Here, Δ ABC ≅ Δ RQP ∴ ∠A =∠R ∠B =∠Q ∠P =∠C So, option B is correct.

If $Δ A B C ≅ Δ R Q P$ , then $∠ P$ = _____ .

The correct option is B
$∠ C$

If two triangles are congruent, then their corresponding angles are equal.

Here, $Δ$ ABC $≅$ $Δ$ RQP
$∴$ $∠ A$ = $∠ R$
$∠ B$ = $∠ Q$
$∠ P$ = $∠ C$
So, option B is correct.