Question 4In - ABC - - A -30- - B -40- and - C -110-In - P QR - - P -30- - Q -40- and - R -110-A student says that ABC - PQR by AAA congruence criterion- Is he justified- Why or why not-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Congruence of Line Segments and Angles

Question 4In ...

Question

Question 4
In $Δ A B C, ∠ A = 30^{\circ}, ∠ B = 40^{\circ} a n d ∠ C = 110^{\circ}$
In $Δ P Q R, ∠ P = 30^{\circ}, ∠ Q = 40^{\circ} a n d ∠ R = 110^{\circ}$
A student says that $Δ A B C ≅ Δ P Q R$ by AAA congruence criterion. Is he justified? Why or why not?

Open in App

Solution

Suggest Corrections

Similar questions

Δ A B C, ∠ A = 30^{\circ}, ∠ B = 40^{\circ} a n d ∠ C = 110^{\circ}

Δ P Q R, ∠ P = 30^{\circ}, ∠ Q = 40^{\circ} a n d ∠ R = 110^{\circ}

Δ A B C ≅ Δ P Q R

In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°

In ΔPQR, ∠P = 30°, ∠Q = 40° and ∠R = 110°

A student says that ΔABC ≅ ΔPQR by AAA congruence criterion. Is he justified? Why or why not?

Δ A B C, ∠ A = 30^{o}, ∠ B = 40^{o}

∠ C = 110^{o}

Δ P Q R, ∠ P = 30^{o}, ∠ Q = 40^{o}

∠ R = 110^{o}

Δ A B C ≅ Δ P Q R

In $△$ ABC, $∠ A = 30^{o}$ , $∠ B = 40^{o}$ and $∠ C = 110^{o}$

In $△$ PQR, $∠ P = 30^{o}$ , $∠ Q = 40^{o}$ and $∠ R = 110^{o}$ .

Then the two triangles are necessarily congruent.

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

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program