हिंदी

In the given figure, PQ || RS, TR || QU and ∠PTR = 42°. Find ∠QUR. - Mathematics

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प्रश्न

In the given figure, PQ || RS, TR || QU and ∠PTR = 42°. Find ∠QUR.

योग

उत्तर

Since, PQ || RS and TR is a transversal.

∴ ∠PTR – ∠TRU = 42°  ......(i) [Alternate interior angles]

Also, TR || QU and RS is a transversal.

∴ ∠TRU + ∠QUR = 180°  ......[Co-interior angles]

⇒ 42° + ∠QUR = 180°   ......[Using (i)]

⇒ ∠QUR = 180° – 42° = 138°

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Lines and Angles - Exercise [पृष्ठ १४०]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 5 Lines and Angles
Exercise | Q 75. | पृष्ठ १४०

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