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
Given below is a parallelogram ABCD. Complete each statement along with the definition or property used.
(i) AD =
(ii) ∠DCB =
(iii) OC =
(iv) ∠DAB + ∠CDA =
The following figure is parallelogram. Find the degree values of the unknowns x, y, z.
Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.
Which of the following statement is true for a rhombus?
It has two pairs of parallel sides.
The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?
Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.
The diagonals of a quadrilateral are of lengths 6 cm and 8 cm. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral?
If all pairs of adjacent sides of a quadrilateral are congruent then it is called ______.
The lengths of the diagonals of a Rhombus are 12 cm and 16 cm. Find the side of the rhombus
In the figure, BEST is a rhombus, Then the value of y – x is ______.
