In - ABC - PQR by AAA criteria and - B - R -60- Find - RPQ-A- 120-B- 60-C- 30-D- 90-

The correct option is B 60^∘ Δ ABC ∼ Δ PQR by AAA criteria. Hence, ∠ B = ∠ Q = 60^∘, ∠ C = ∠ R = 60^∘ and ∠ A = ∠ P As sum of the angles in a triangle is 180^∘ ...

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Standard X

Mathematics

AAA Similarity

In Δ ABC ∼Δ P...

Question

In $Δ$ ABC $\sim$ $Δ$ PQR by AAA criteria and $∠ B = ∠ R = 60^{\circ}$ . Find $∠$ RPQ.

$120^{\circ}$

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$60^{\circ}$

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$30^{\circ}$

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$90^{\circ}$

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Solution

The correct option is B
$60^{\circ}$

$Δ$ ABC $\sim$ $Δ$ PQR by AAA criteria.
Hence, $∠ B = ∠ Q = 60^{\circ}, ∠ C = ∠ R = 60^{\circ}$ and $∠ A = ∠ P$
As sum of the angles in a triangle is $180^{\circ}, ∠ A = ∠ P = 60^{\circ}$
$∴ ∠ R P Q = 60^{\circ}$

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Similar questions

Q. It is given that

△ A B C \sim △ P Q R

and

∠ B = ∠ R = 60^{\circ}

. Find

∠ R P Q

If $△ A B C \sim △ P Q R$ and $∠ B = ∠ R = 60^{\circ}$ , then find $∠$ RPQ.

Δ A B C \sim Δ P Q R

. If

∠ B

Δ A B C

and

∠ R

Δ P Q R

are

60^{\circ}

, then

∠

RPQ =

Q. If

△ A B C \sim △ P Q R

by AAA criteria and

△ A B C

is right angled at B with angle A = 60°, then
angle R = .

If $2 ∠ A = 3 ∠ B = 6 ∠ C$ in a $Δ A B C$ , then $∠ A$ , $∠ B$ , $∠ C$ are

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In Δ ABC ∼ Δ PQR by AAA criteria and ∠B=∠R=60∘. Find ∠ RPQ.

The correct option is B 60∘ Δ ABC ∼ Δ PQR by AAA criteria. Hence, ∠B=∠Q=60∘,∠C=∠R=60∘ and ∠A=∠P As sum of the angles in a triangle is 180∘,∠A=∠P=60∘ ∴∠RPQ=60∘

In $Δ$ ABC $\sim$ $Δ$ PQR by AAA criteria and $∠ B = ∠ R = 60^{\circ}$ . Find $∠$ RPQ.

The correct option is B
$60^{\circ}$

$Δ$ ABC $\sim$ $Δ$ PQR by AAA criteria.
Hence, $∠ B = ∠ Q = 60^{\circ}, ∠ C = ∠ R = 60^{\circ}$ and $∠ A = ∠ P$
As sum of the angles in a triangle is $180^{\circ}, ∠ A = ∠ P = 60^{\circ}$
$∴ ∠ R P Q = 60^{\circ}$