Advertisements
Advertisements
प्रश्न
The sum of two opposite angles of a parallelogram is 130°. Find all the angles of the parallelogram.
Advertisements
उत्तर
\[\text{ Let the angles be A, B, C and D }. \]
\[\text{ It is given that the sum of two opposite angles is } 130°. \]
\[ \therefore \angle A + \angle C = 130°\]
\[\angle A + \angle A = 130° \left( \text{ opposite angles of a parallelogram are same } \right)\]
\[\angle A = 65°\]
\[\text{ and } \angle C = 65°\]
\[\text{ The sum of adjacent angles of a paralle\logram is } 180° . \]
\[\angle A + \angle B = 180°\]
\[65°+ \angle B = 180°\]
\[\angle B = 180°- 65°\]
\[\angle B = 115°\]
\[ \angle D = 115°\]
\[ \therefore \angle A = 65°, v\angle B = 115°, \angle C = 65° \text{ and } \angle D = 115° .\]
APPEARS IN
संबंधित प्रश्न
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
Which of the following statement is true for a rhombus?
It is a quadrilateral.
Fill in the blank, in the following, so as to make the statement true:
A rhombus is a parallelogram in which ......
The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is 'No', draw a figure to justify your answer.
Which of the following statement is true for a rectangle?
Its diagonals are equal and bisect each other.
If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.
If the adjacent sides of a parallelogram are equal then parallelogram is a ______.
Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.
Construct a rhombus CLUE in which CL = 7.5 cm and LE = 6 cm.
