Advertisements
Advertisements
प्रश्न
The angle between the altitudes of a parallelogram, through the same vertex of an obtuse angle of the parallelogram is 60°. Find the angles of the parallelogram.
Advertisements
उत्तर
\[\text{ Draw a parallelogram ABCD } . \]
\[\text{ Drop a perpendicular from B to the side AD, at the point E } . \]
\[\text{ Drop perpendicular from B to the side CD, at the point F } . \]
\[\text{ In the quadrilateral BEDF }: \]
\[\angle EBF = 60°, \angle BED = 90°\]
\[\angle BFD = 90°e \]
\[\angle EDF = 360° - (60° + 90° + 90°) = 120°\]
\[\text{ In a parallelogram, opposite angles are congruent and adjacent angles are supplementary } . \]
\[\text{ In the parallelogram ABCD }: \]
\[\angle B = \angle D = 120° \]
\[\angle A = \angle C = 180°e - 120° = 60 °\]
APPEARS IN
संबंधित प्रश्न
Which of the following statement is true for a rectangle?
Its diagonals are perpendicular.
Which of the following statement true for a square?
Its diagonals bisect each other at right angle.
Fill in the blank of the following, so as to make the statement true:
A square is a rectangle in which .....
If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a ______.
All squares are rectangles.
Every rectangle is a trapezium.
In a rectangle ABCD, AB = 25 cm and BC = 15. In what ratio does the bisector of ∠C divide AB?
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.
Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.
