3. Observe the given triangles and choose the right answer.
a. AABC = AQPR b. AABC = APQR
c. AACB = APQR d. AACB = AQPR
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Given : Showing two triangles
To Find : choose the right answer.
a. ΔABC ≈ ΔQPR b. ΔABC ≈ ΔPQR
c. ΔACB ≈ ΔPQR d. ΔACB ≈ ΔQPR
Solution:
∠A = 70°
∠B = 45°
∠C = 180° - 70° - 45° = 65° ( sum of angles of triangle is 180°)
∠P = 70°
∠Q = 65°
∠R = 180° - 70° - 65° = 45° ( sum of angles of triangle is 180°)
∠A = ∠P = 70°
∠B = ∠R = 45°
∠C = ∠Q = 65°
=> ΔABC ≈ ΔPRQ
ΔACB ≈ ΔPQR
option c is correct
ΔACB ≈ ΔPQR
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