Advertisements
Advertisements
प्रश्न
ABCD is a parallelogram. Points P and Q are taken on the sides AB and AD respectively and the parallelogram PRQA is formed. If ∠C = 45°, find ∠R.
Advertisements
उत्तर
Let ABCD be a parallelogram,
Given: ∠C = 45°
In a parallelogram ABCD,
∠A = ∠C ...[Opposite angles of parallelogram are equal]
Similarly, in a parallelogram PRQA,
∠A = ∠R ...[Opposite angles of parallelogram are equal]
Hence, ∠R = 45°
APPEARS IN
संबंधित प्रश्न
Given a parallelogram ABCD. Complete each statement along with the definition or property used.
- AD = ______
- ∠DCB = ______
- OC = ______
- m∠DAB + m∠CDA = ______
Can a quadrilateral ABCD be a parallelogram if ∠D + ∠B = 180°?
The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.
The following figure GUNS is a parallelogram. Find x and y. (Lengths are in cm)
Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm
Ratio of consecutive angles of a quadrilateral is 1 : 2 : 3 : 4. Find the measure of its each angle. Write, with reason, what type of a quadrilateral it is.
Prove that the diagonals of a parallelogram bisect each other.
In parallelogram ABCD, X and Y are midpoints of opposite sides AB and DC respectively. Prove that:
(i) AX = YC
(ii) AX is parallel to YC
(iii) AXCY is a parallelogram.
Which of the following figures satisfy the following properties?
- All sides are congruent.
- All angles are right angles.
- Opposite sides are parallel.
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 ______.
