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Name: Quadrilateral RYZP is a RHOMBUS. If RK = 5, RY = 13 and m∠YRZ = 67⁰, f
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Description: Quadrilateral RYZP is a RHOMBUS. If RK = 5, RY = 13 and m∠YRZ = 67⁰, find the m∠RZP. K.z,132367

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Quadrilateral RYZP is a RHOMBUS. If RK = 5, RY = 13 and m∠YRZ = 67⁰, find the m∠RZP.

Expert Solution

Step 1

$W e h a v e a R H O M B U S R Y Z P R K = 5, R Y = 13 a n d ∠ Y R Z = 67 ° w e k n o w t h a t d i a g o n a l s o f r h o m b u s i n t e r s e c t s e a c h o t h e r a t 90 ° a n d a l l s i d e s e q u a l i n l e n g t h a n d o p p o s i t e a n g l e s a r e e q u a l I n △ R K Y ∠ Y R Z = 67 °, ∠ R K Y = 90 ° \Rightarrow ∠ R Y K = 180 ° - (67 ° + 90 °) = 23 ° s i m i l a r l y i n △ Y K Z ∠ Y K Z = 90 °, ∠ Y Z K = 67 ° \Rightarrow ∠ Z Y K = 180 ° - (67 ° + 90 °) = 23 °$

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