Question
In a cyclic quadrialteral ABCD , if m ∠ A = 3 (m ∠C). Find m ∠ A.
✓
Answer
m ∠ A = 3 (m ∠C)
∠ A + ∠ C = 180 (Opposite angles of a cyclic quadrilateral)
3∠C + ∠ C = 180
4 ∠ C = 180
∠ C = 45
m ∠ A = 3 (m ∠ C)
= 3 × 45
= 135
m ∠ A = 135°
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