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Abcd is a Parallelogram in Which ∠A = 70°. Compute ∠B, ∠C and ∠D. - Mathematics

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प्रश्न

ABCD is a parallelogram in which ∠A = 70°. Compute ∠BC and D.

उत्तर

\[\text{ Opposite angles of a parallelogram are equal } . \]

\[ \therefore \angle C = 70° = \angle A . \]

\[ \angle B = \angle D\] 

\[\text{ Also, the sum of the adjacent angles of a parallelogram is } 180°. \] 

\[ \therefore \angle A + \angle B = 180°\]

\[70° + \angle B = 180°\]

\[\angle B = 110°\]

\[ \therefore \angle B = 110°, \angle C = 70°\text{ and } \angle D = 110°\] 

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अध्याय 17: Understanding Shapes-III (Special Types of Quadrilaterals) - Exercise 17.1 [पृष्ठ ११]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 17 Understanding Shapes-III (Special Types of Quadrilaterals)
Exercise 17.1 | Q 12 | पृष्ठ ११

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