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
Name the quadrilaterals whose diagonals are equal
ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you)
Diagonals of a parallelogram ABCD intersect at O. AL and CM are drawn perpendiculars to BD such that L and M lie on BD. Is AL = CM? Why or why not?
Which of the following statement is true for a rectangle?
It has two pairs of equal sides.
Which of the following statement is true for a rectangle?
Its diagonals are perpendicular and bisect each other.
Which of the following statement are true for a square?
It has all its sides of equal length.
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 .....
For which of the following figures, all angles are equal?
A rectangular MORE is shown below:
Answer the following questions by giving appropriate reason.
- Is RE = OM?
- Is ∠MYO = ∠RXE?
- Is ∠MOY = ∠REX?
- Is ΔMYO ≅ ΔRXE?
- Is MY = RX?
