State the congruency of following pairs of triangles.
In $Δ A B C$ and $Δ P Q R$ , $B C = Q R,$ $∠ A = 90^{\circ}, ∠ C = ∠ R = 40^{\circ}$ and $∠ Q = 50^{\circ}$ .

Question

State the congruency of following pairs of triangles-In Delta-ABC and Delta PQR - BC - QR-  angle-A-90-circ- - angle -C -angle R - 40-circ-  and  angle- Q -50-circ-ASASSSSASNot congruent

Toppr Admin · Accepted Answer

In -x25B3-ABC-x2220-A-90o- -x2220-C-40oSum of all angles of a triangle -180o-x2220-A-x2220-B-x2220-C-180o90o-x2220-B-40o-180o-x2234-x2220-B-50-x2218-

State the congruency of following pairs of triangles.
In $Δ A B C$ and $Δ P Q R$ , $B C = Q R,$ $∠ A = 90^{\circ}, ∠ C = ∠ R = 40^{\circ}$ and $∠ Q = 50^{\circ}$ .

$A S A$
$S S S$
$S A S$
Not congruent

In $△ A B C$ ,
$∠ A = 90^{o}$ , $∠ C = 40^{o}$
Sum of all angles of a triangle $= 180^{o}$
$∠ A + ∠ B + ∠ C = 180^{o}$
$90^{o} + ∠ B + 40^{o} = 180^{o}$
$∴ ∠ B = 50^{\circ}$

State the congruency of following pairs of triangles.In ΔABC and ΔPQR, BC=QR, ∠A=90∘,∠C=∠R=40∘ and ∠Q=50∘.ASASSSSASNot congruent

In △ABC,∠A=90o, ∠C=40oSum of all angles of a triangle =180o∠A+∠B+∠C=180o90o+∠B+40o=180o∴∠B=50∘

State the congruency of following pairs of triangles.
In $Δ A B C$ and $Δ P Q R$ , $B C = Q R,$ $∠ A = 90^{\circ}, ∠ C = ∠ R = 40^{\circ}$ and $∠ Q = 50^{\circ}$ .

$A S A$
$S S S$
$S A S$
Not congruent

In $△ A B C$ ,
$∠ A = 90^{o}$ , $∠ C = 40^{o}$
Sum of all angles of a triangle $= 180^{o}$
$∠ A + ∠ B + ∠ C = 180^{o}$
$90^{o} + ∠ B + 40^{o} = 180^{o}$
$∴ ∠ B = 50^{\circ}$