If ΔABC ≅ ΔPQR, BC = 6cm, and ∠A = 75°, then which one of the following is true?

QR = 6 cm, ∠P = 75°

Concept Used

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

Calculation

If triangles ABC and PQR are congruent, then

\(\angle\)A = \(\angle\)P and \(\angle\)B = \(\angle\)Q

QR side of \(\Delta \)PQR should be equal to side BC of \(\Delta \)ABC so that the two triangles are congruent.

QR = 6 cm, \(\angle\)P = \({75}^\circ\)

Therefore, the answer is QR = 6 cm, \(\angle\)P = \({75}^\circ\).