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 unknown x, y, z.
The following figure is parallelogram. Find the degree value of the unknown x, y, z.
In the adjacent figure HOPE is a parallelogram. Find the angle measures x,y and z. State the geometrical truths you use to find them.
The measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles?
If the diagonals of a rhombus are 12 cm and 16cm, find the length of each side.
ABCD is a rhombus and its diagonals intersect at O.
(i) Is ∆BOC ≅ ∆DOC? State the congruence condition used?
(ii) Also state, if ∠BCO = ∠DCO.
Which of the following statement is true for a rectangle?
Its diagonals are equal and bisect each other.
Identify all the quadrilateral that have Four sides of equal length
In a rhombus diagonals intersect at ______ angles.
