If - PQR - ABC and - B - C -50- then find the measure of - P-A- 100-B- 150-C- 50-D- 80-

The correct option is D 80°Given, nbsp;∆PQR ≅ ∆ABC. Then ∠P = ∠A, ∠Q = ∠B and ∠R = ∠C. Also, it is given that nbsp;∠B = nbsp;∠C = 50°. Then, by angle sum ...

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Byju's Answer

Standard IX

Mathematics

Congruent Triangles

If Δ PQR ≅Δ A...

Question

If ∆PQR ≅ ∆ABC and ∠B = ∠C = 50°, then find the measure of ∠P.

50°

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80°

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100°

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150°

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Solution

The correct option is B 80°
Given, ∆PQR ≅ ∆ABC.
Then ∠P = ∠A, ∠Q = ∠B and ∠R = ∠C.
Also, it is given that ∠B = ∠C = 50°.
Then, by angle sum property of a triangle, we get, ∠A = 80°.
Since ∠P = ∠A, we must have ∠P = 80°.

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Similar questions

Δ A B C \sim Δ P Q R

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

Q. Question 4
In

Δ A B C

, if BC =AB and

∠ B = 80^{\circ}

then

∠ A

is equal to
(A)

80^{\circ}

(B)

40^{\circ}

(C)

50^{\circ}

(D)

100^{\circ}

In ΔABC, BC = AB and ∠B = 80°, then ∠A is equal to:

Question 17

In $Δ P Q R$ , if PQ = QR and $∠ Q = 100^{\circ}$ , then $∠ R$ is equal to

a) $40^{\circ}$
b) $80^{\circ}$
c) $120^{\circ}$
d) $50^{\circ}$

Q. Question 3

Δ A B C

, if AB =AC and

∠ B = 50^{\circ}

then

∠ C

is equal to
(A)

40^{\circ}

(B)

50^{\circ}

(C)

80^{\circ}

(D)

130^{\circ}

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If ∆PQR ≅ ∆ABC and ∠B = ∠C = 50°, then find the measure of ∠P.

The correct option is B 80°Given, ∆PQR ≅ ∆ABC. Then ∠P = ∠A, ∠Q = ∠B and ∠R = ∠C. Also, it is given that ∠B = ∠C = 50°. Then, by angle sum property of a triangle, we get, ∠A = 80°. Since ∠P = ∠A, we must have ∠P = 80°.

The correct option is B 80°
Given, ∆PQR ≅ ∆ABC.
Then ∠P = ∠A, ∠Q = ∠B and ∠R = ∠C.
Also, it is given that ∠B = ∠C = 50°.
Then, by angle sum property of a triangle, we get, ∠A = 80°.
Since ∠P = ∠A, we must have ∠P = 80°.