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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा ९

In the figure, AB is parallel to CD, find x - Mathematics

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प्रश्न

In the figure, AB is parallel to CD, find x

आकृति
योग

उत्तर

In the given figure AB || CD, AD is the transversal.

∠CDA = ∠BAD

= 53° ...(alternate angles are equal)

In ΔECD, ∠D = ∠A = 53° ...(Alternate angles are equal)

∠E + ∠C + ∠D = 180° ...(sum of the angles of a triangle)

x° + 38° + 53° = 180°

x° = 180° − 91°

= 89°

x = 89°

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अध्याय 4: Geometry - Exercise 4.1 [पृष्ठ १४३]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
अध्याय 4 Geometry
Exercise 4.1 | Q 1. (iii) | पृष्ठ १४३
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