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प्रश्न
In a pentagon ABCDE, AB is parallel to DC and ∠A: ∠E : ∠D = 3: 4: 5. Find angle E.
उत्तर
Let the measure of the angles are 3x, 4x and 5x.
Thus
∠A + ∠B + ∠C + ∠D + ∠E = 540°
3x + (∠B + ∠C) + 4x + 5x = 540°
12x + 180° = 540°
12x = 360°
x = 30°
Thus, the measure of angle E will be 4 × 30° = 120°
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