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In a right-angled triangle if an angle measures 35°, then find the measure of the third angle. - Mathematics

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Question

In a right-angled triangle if an angle measures 35°, then find the measure of the third angle.

Sum

Solution

In a right-angled ΔABC,


∠A + ∠B + ∠C = 180°  .....[Angle sum property of a triangle]

⇒ ∠A + 90° + 35° = 180°   ......[∵ ∠B = 90° and ∠C = 35°, given]

⇒ ∠A + 125° = 180°

⇒ ∠A = 180° – 125° = 55°

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Chapter 6: Triangles - Exercise [Page 174]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 6 Triangles
Exercise | Q 120. | Page 174

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