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Find the value of x in the given figure. - Mathematics

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प्रश्न

Find the value of x in the given figure.

बेरीज

उत्तर

In the given figure, ∠BAC = 80°, ∠ABC = 30°, ∠ACE = x and ∠ECD = 90°

In ΔABC, we know that, exterior angle is equal to the sum of interior opposite angles.

∴ ∠ACD = ∠CAB + ∠ABC

⇒ ∠ACE + ∠ECD = 80° + 30°  ......[∵ ∠ACD = ∠ACE + ∠ECD]

⇒ ∠ACE + 90° = 110°  ......[∵ ∠ECD = 90°]

⇒ ∠ACE = 110° – 90° = 20°

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पाठ 6: Triangles - Exercise [पृष्ठ १७५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
पाठ 6 Triangles
Exercise | Q 126. | पृष्ठ १७५

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