If ΔABC ≅ ΔPQR and ∠ABC = (x + 60)°, ∠PQR = (85 - 4x)°, and ∠RPQ = (3x + 65)°, then the value of ∠ABC in degree is:
Answer & explanation
Correct answer: option 4
If ΔABC ≅ ΔPQR
then, ∠ABC = ∠PQR
⇒ x + 60 = 85 - 4x
⇒ 5x = 85 - 60
⇒ x = \(\frac{25}{5}\) = 5 units
So,
∠ABC= \({x\; +\; 60}^\circ\)
⇒ \({5\; +\; 60}^\circ\) = \({65}^\circ\)
Therefore, the answer is \({65}^\circ\)