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The legs of a stool make an angle of 35° with the floor as shown in figure. Find the angles x and y. - Mathematics

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Question

The legs of a stool make an angle of 35° with the floor as shown in figure. Find the angles x and y.

Sum

Solution


Since, l m are parallel lines and PQ is transversal.

∴ x = ∠PQR  ......[Alternate interior angles]

⇒ x = 35°  ......[∵ ∠PQR]

Again, x + y = 180°  ......[Linear pair]

⇒ 35° + y = 180°

⇒ y = 180° – 35° = 145°

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Chapter 5: Lines and Angles - Exercise [Page 144]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 5 Lines and Angles
Exercise | Q 89. | Page 144
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