Advertisements
Advertisements
प्रश्न
Two adjacent angles of a parallelogram are (3x − 4)° and (3x + 10)°. Find the angles of the parallelogram.
Advertisements
उत्तर
\[\text{ We know that the adjacent angles of a parallelogram are supplementry } . \]
\[\text{ Hence }, \left( 3x + 10 \right)° \text{ and } \left( 3x - 4 \right)° \text{ are supplementry } . \]
\[\left( 3x + 10 \right)°+ \left( 3x - 4 \right)° = 180°\]
\[6x° + 6°= 180°\]
\[6x° = 174°\]
\[x = 29°\]
\[\text{ First angle } = \left( 3x + 10 \right)°= \left( 3 \times 29° + 10° \right) = 97°\]
\[\text{ Second angle }= \left( 3x - 4 \right)° = 83°\]
\[\text{ Thus, the angles of the parallelogram are } 97°, 83°, 97° \text{ and } 83°.\]
APPEARS IN
संबंधित प्रश्न
Which of the following statement is true for a rectangle?
It has two pairs of equal sides.
The sides of a rectangle are in the ratio 2 : 3, and its perimeter is 20 cm. Draw the rectangle.
Using opposite angles test for parallelogram, prove that every rectangle is a parallelogram.
Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.
Show that the bisectors of angles of a parallelogram form a rectangle
The interior angle made by the side in a parallelogram is 90° then the parallelogram is a
Every trapezium is a rectangle.
Every rectangle is a trapezium.
PQRS is a rectangle. The perpendicular ST from S on PR divides ∠S in the ratio 2:3. Find ∠TPQ.
A playground is in the form of a rectangle ATEF. Two players are standing at the points F and B where EF = EB. Find the values of x and y.
