It is given that, m ∠A + m ∠B + m ∠C = 210° and m ∠B is thrice that of m∠C. If ∠B and ∠C are supplementary, the measures of ∠A, ∠B and ∠C respectively are
Explanation:
m ∠B + m ∠C = 180° (Supplementary angles) … (1) and
m ∠A + m ∠B + m ∠C = 210° …(2)
Solving (1) and (2), we get
∴ m ∠A = 210° − 180° = 30°
Now, m ∠B = 3 × (m ∠C) …(3)
Solving (1) and (3), we get
∴ m ∠B = 135° and m ∠C = 45°
Hence, option (a).
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