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In the given figure, ∆ARO ≅ ∆______. - Mathematics

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Question

In the given figure, ∆ARO ≅ ∆______.

Fill in the Blanks

Solution

In the given figure, ∆ARO ≅ ∆PQO.

Explanation:


In ∆ARO and ∆PQO,

∠ARO = ∠PQO = 55°

∠AOR = ∠POQ  ......[Vertically opposite angles]

∴ ∠RAQ = ∠QPO  ......[∵ If two angles of a triangle are equal to two angles of another triangle then the third angle is also equal]

AO = PO = 2.5 cm

∴ ∆ARO ≅ ∆PQO  ......[ASA criterion]

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Chapter 6: Triangles - Exercise [Page 168]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 6 Triangles
Exercise | Q 67. | Page 168

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