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In the Following Figures, Find the Remaining Angles of the Parallelogram - Mathematics

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प्रश्न

In the following figures, find the remaining angles of the  parallelogram

योग

उत्तर

PQRS is a parallelogram.
∠R + ∠Q = 180°    ....(Interior angles)

x°+ x°4 = 180°

⇒ 4x° + x° = 180° x 4
⇒ 5x° = 180° x 4

⇒ x° = 180°×45

⇒ x° = 144° = ∠R

x°4=144°4 = 36° = ∠Q

⇒ ∠P = ∠R = 144    ....(Opposite angles of a parallelogram are equal)
∠S = ∠Q = 36°.

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अध्याय 19: Quadrilaterals - Exercise 19.1

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 19 Quadrilaterals
Exercise 19.1 | Q 1.4
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