Advertisements
Advertisements
प्रश्न
The measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles?
Advertisements
उत्तर
\[\text{ Given that one angle of the parallelogram is } 70° . \]
\[\text{ Since opposite angles have same value, if one is }70° , \text{ then the one directly opposite will also be } 70° . \]
\[\text{ So, let one angle be }x° . \]
\[x° + 70° = 180° (\text{ the sum of adjacent angles of a parallelogram is } 180° )\]
\[x° = 180° - 70° \]
\[x° = 110° \]
\[\text{ Thus, the remaining angles are }110° , 110° \text{ and }70° . \]
संबंधित प्रश्न
Can the following figure be parallelogram. Justify your answer.

ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?
Fill in the blank, in the following, so as to make the statement true:
The diagonals of a rhombus ...... each other at ...... angles.
ABCD is a rhombus. If ∠ACB = 40°, find ∠ADB.
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.
If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.
Lengths of diagonals of a rhombus ABCD are 16 cm and 12 cm. Find the side and perimeter of the rhombus.
The lengths of the diagonals of a Rhombus are 12 cm and 16 cm. Find the side of the rhombus
If all sides of a quadrilateral are equal, it is a ______.
