Question

If ∆ABC ≅ ∆PQR, then the value of ∠A is

Answer 1

Answer:

55°

Step-by-step explanation:

∆ABC ∆PQR = A /5 = 55°

ans - 55°

Answer 2

Given : ∆ABC ≅ ∆PQR

To Find :   value of ∠A

Solution:

∆ABC ≅ ∆PQR

Corresponding parts of congruent triangles are are congruent

Hence

AB ≅ PQ

BC ≅ QR

AC ≅ PR

∠A ≅ ∠P

∠B ≅ ∠Q

∠C ≅ ∠R

in ΔPQR

m∠P + m∠Q + m∠R = 180°

=> m∠P + 35° + 90° = 180°

=> m∠P = 55°

∠A ≅ ∠P

=> m∠A = m∠P

=>  m∠A = 55°

value of ∠A is 55°

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