If ΔABC ≅ ΔPQR and &ang

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

If ΔABC ≅ ΔPQR and ∠ABC = (x + 60)°, ∠PQR = (85 - 4x)°, and ∠RPQ = (3x + 65)°, then the value of ∠ABC in degree is:

Options:

Correct Answer:

Explanation:

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 \({65}^\circ\)