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प्रश्न
The following figure is parallelogram. Find the degree values of the unknowns x, y, z.

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उत्तर
\[\text{ Opposite angles of a parallelogram are same } . \]
\[ \therefore x = z \text{ and } y = 100°\]
\[\text{ Also }, y + z = 180° (\text{ sum of adjacent angles of a quadrilateral is } 180°)\]
\[z + 100°= 180°\]
\[x = 180° - 100°\]
\[x = 80°\]
\[ \therefore x = 80°e, y = 100° \text{ and } z = 80°\]
संबंधित प्रश्न
The sum of two opposite angles of a parallelogram is 130°. Find all the angles of the parallelogram.
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.

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(ii) Also state, if ∠BCO = ∠DCO.
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(ii) if AD = 7.5 cm ; find BC and CD.
The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and y.

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