Q1
If ABC and PQR are similar triangles in which ∠A = 47° and ∠Q = 83°, then ∠C is:
If ABC and PQR are similar triangles in which ∠A = 47° and ∠Q = 83°, then ∠C is:
A.
50°
AnswerB.
70°
C.
60°
D.
80°
Answer: Option A
Solution
Answer: Option A
Solution:
Since, ΔABC and ΔPQR are similar triangles.then, ∠B = ∠Q = 83°
Thus, in ΔABC,
∠C = 180° - (∠A + ∠ B)
or, ∠C = 180° - (47° + 83°)
∠C = 50°