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19-07-2020
Mathematics

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pqrs is a rhombus with angle pqr is equals to 58 determine angle PRS

Respuesta :

19-07-2020

Answer: ∡PRS=61°

Step-by-step explanation:

As known the following equity is valid for the rhombus:

∡PQR+∡QRS = 180°

So ∡QRS=180°- ∡PQR

∡QRS=180°- 58°= 122°

From another hand we know that PR is bisector of ∡QRS.

So ∡PRS=∡QRS:2= 122°:2=61°

∡PRS=61°

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