Advertisements
Advertisements
प्रश्न
ABCD is a parallelogram. Find the value of x, y and z.
Advertisements
उत्तर
Given, A parallelogram ABCD.
In the ΔOBC, we have
y + 30° = 100° ...[Exterior angle property of triangle]
⇒ y = 70°
By the angle sum property of a triangle,
We have, x + y + 30° = 180°
⇒ x + 70° + 30° = 180°
⇒ x = 180° – 100°
⇒ x = 80°
Now, since AD || BC and BD is transversal,
Therefore, ∠ADO = ∠OBC ...[Alternative interior angles]
⇒ z = 30°
APPEARS IN
संबंधित प्रश्न
In the given figure, if points P, Q, R, S are on the sides of parallelogram such that AP = BQ = CR = DS then prove that `square`PQRS is a parallelogram.
In the adjacent figure, if seg AB || seg PQ, seg AB ≅ seg PQ, seg AC || seg PR, seg AC ≅ seg PR then prove that, seg BC || seg QR and seg BC ≅ seg QR.
Construct a parallelogram ABCD such that l(BC) = 7 cm, m∠ABC = 40° , l(AB) = 3 cm.
ABCD is a parallelogram. What kind of quadrilateral is it if: AC is perpendicular to BD but is not equal to it?
Prove that the diagonals of a parallelogram bisect each other.
Which of the following figures satisfy the following properties?
- All sides are congruent.
- All angles are right angles.
- Opposite sides are parallel.
Which of the following is a property of a parallelogram?
The angle between the two altitudes of a parallelogram through the same vertex of an obtuse angle of the parallelogram is 30°. The measure of the obtuse angle is ______.
The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 45°. Find the angles of the parallelogram.
Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.
