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प्रश्न
In the given figure, find the values of a, b and c.
उत्तर
In figure, ∠A + ∠B + ∠C = 180° ......[Sum of all angles of a triangle is 180°]
⇒ 90° + a + 70° = 180° ......[∵ ∠A = 90° and ∠C = 70°, from the figure]
⇒ a + 160° = 180°
⇒ a = 180° – 160° = 20°
Since, c is an exterior angle of ΔABD.
∴ ∠c = a + 30° = 20° + 30° = 50 ......[∵ Exterior angles = Sum of opposite interior angles]
Also, b is an exterior angle of ΔADC
∴ ∠b = 60° + 70° = 130° ......[∵ Exterior angles = Sum of opposite interior angles]
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