Question

solve the questions in properly way and please I request you don't send other things ​

Answer 1

Answer:

Q3. As ∆ABC similar to ∆PQR

Therefore Angle A = Angle P (By SPST)

So Angle A = 65°

Answer 2

2)Given Data:

             ΔABC≅ΔFDE

            AB=5cm

            ∠B=40°

            ∠A=80°

 To find:

             DF=?

            ∠E=?

Solution:

          AB≅DF

           AB=DF=5cm

            DF=5cm

         ∠A+∠B+∠C=180°

         ∴∠A=∠F=80°

           ∠B=∠D=40°

           ∠C=∠E=?

 In ΔFDE,

             ∠F+∠D+∠E=180°

              80°+40°+∠E=180°

             120°+∠E=180°

                      ∠E=180°-120°

                    ∠E=60°

∴DF=5cm;∠E=60°

_______________

3)Given Data:

                 ΔABC≅ΔPQR

In ΔABC,   BC=5cm ;∠B=40°;∠C=75°

In ΔPQR,   QR=5cm;∠Q=40°;∠R=75°;∠P=65°

To Find:

         ∠A=?

Solution:

            ΔABC≅ΔPQR

                  ∠A= ∠P

               ∠P=65°(Given)

                ∠A=65°

                 

      Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.