RRB JE practice question
The four angles of quadrilateral EFGH, taken in order at vertices E, F, G, H, are in the ratio 2:3:5:8. Find angle H.
From a RRB JE Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (A) 160°
Let the four angles be 2x, 3x, 5x, 8x. Since the angle sum of a quadrilateral is 360°, 2x + 3x + 5x + 8x = 360°, i.e. 18x = 360°, so x = 20°. Angle H corresponds to the ratio part 8, so angle H = 8 × 20° = 160°.
हिंदी में प्रश्न
चतुर्भुज EFGH के शीर्ष E, F, G, H पर क्रमानुसार चारों कोणों का अनुपात 2:3:5:8 है। कोण H ज्ञात कीजिए।
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सही उत्तर: (A) 160°
मान लीजिए चारों कोण 2x, 3x, 5x, 8x हैं। चूँकि चतुर्भुज के कोणों का योग 360° होता है, 2x + 3x + 5x + 8x = 360°, अर्थात 18x = 360°, इसलिए x = 20°। कोण H अनुपात के भाग 8 के अनुरूप है, अतः कोण H = 8 × 20° = 160°।
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