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The Following Figure is Parallelogram. Find the Degree Value of the Unknown X, Y, Z. - Mathematics

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प्रश्न

The following figure is parallelogram. Find the degree value of the unknown xyz

उत्तर

\[y = 112°  (\text{ opposite angles are equal in a parallelogram })\]
\[\text{ In } ∆ UTW : \]
\[x + y + 40° = 180° (\text{ angle sum property of a triangle })\]
\[x = 180°- (112° - 40°) = 28°\]
\[\text{ Bottom left vertex } = 180°- 112°= 68°\]
\[ \therefore z = x = 28° (\text{ alternate angles })\]

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अध्याय 17: Understanding Shapes-III (Special Types of Quadrilaterals) - Exercise 17.1 [पृष्ठ ९]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 17 Understanding Shapes-III (Special Types of Quadrilaterals)
Exercise 17.1 | Q 2.6 | पृष्ठ ९

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