If - ABC - PQR and it is given that - A -60- - B -70-Then the value of - R is

Since, Δ ABC ≅Δ PQR, ∴∠ A= ∠ P = 60^∘ ∠ B= ∠ Q =70^∘ Now, ∠ P + ∠ Q + ∠ R = 180^∘ [angle sum property of a triangle] ⇒ 60^∘+70^∘+∠ R = 180^∘ ⇒∠ R= 180 60 70=50 ...

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Byju's Answer

Standard IX

Mathematics

Congruent Triangles

If Δ ABC ≅Δ P...

Question

If $Δ A B C ≅ Δ P Q R$ and it is given that $∠ A = 60^{\circ}, ∠ B = 70^{\circ} .$ Then the value of $∠ R$ is___.

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Solution

Since, $Δ A B C ≅ Δ P Q R,$
$∴ ∠ A = ∠ P = 60^{\circ}$
$∠ B = ∠ Q = 70^{\circ}$
Now,
$∠ P + ∠ Q + ∠ R = 180^{\circ}$ [angle sum property of a triangle]
$\Rightarrow 60^{\circ} + 70^{\circ} + ∠ R = 180^{\circ}$
$\Rightarrow ∠ R = 180 - 60 - 70 = 50^{\circ}$

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Similar questions

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

∠

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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 =

Δ A B C \sim Δ P Q R

, ∠B = 50° and ∠C = 70° . Then ∠P is equal to:

Δ A B C

and

Δ P Q R

are similar triangles such that

∠ A = 32^{0}

and

∠ R = 65^{\circ}

, then the value of

∠ B

Δ A B C

and

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are similar triangles such that

∠ A = 32^{o}

and

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If ΔABC≅ΔPQR and it is given that ∠A=60∘, ∠B=70∘.Then the value of ∠R is___.

Since, ΔABC≅ΔPQR, ∴∠A=∠P=60∘ ∠B=∠Q=70∘ Now, ∠P+∠Q+∠R=180∘ [angle sum property of a triangle] ⇒60∘+70∘+∠R=180∘ ⇒∠R=180−60−70=50∘

If $Δ A B C ≅ Δ P Q R$ and it is given that $∠ A = 60^{\circ}, ∠ B = 70^{\circ} .$ Then the value of $∠ R$ is___.

Since, $Δ A B C ≅ Δ P Q R,$
$∴ ∠ A = ∠ P = 60^{\circ}$
$∠ B = ∠ Q = 70^{\circ}$
Now,
$∠ P + ∠ Q + ∠ R = 180^{\circ}$ [angle sum property of a triangle]
$\Rightarrow 60^{\circ} + 70^{\circ} + ∠ R = 180^{\circ}$
$\Rightarrow ∠ R = 180 - 60 - 70 = 50^{\circ}$