Advertisements
Advertisements
प्रश्न
In the above figure both RISK and CLUE are parallelograms. Find the value of x.
Advertisements
उत्तर
Since RISK and CLUE are parallelograms
∴∠SKR =∠RIS = 120° [·:Opposite angles are equal]
Also, ∠ULC = ∠UEC = 70° [Opposite angles are equal]
∠RIS +∠ISK = 180° [Adjacent angles are supplementary]
∠ISK = 180° - 120° = 60°
in ΔOES, we have
70° + x + 60° = 180° [Angle sum property]
x + 130° = 180°
x = 180° - 130° = 50°.
APPEARS IN
संबंधित प्रश्न
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.
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 = BD but AC is not perpendicular to BD?
Prove that the diagonals of a parallelogram bisect each other.
The given figure shows parallelogram ABCD. Points M and N lie in diagonal BD such that DM = BN.
Prove that:
(i) ∆DMC = ∆BNA and so CM = AN
(ii) ∆AMD = ∆CNB and so AM CN
(iii) ANCM is a parallelogram.
Use the information given in the alongside diagram to find the value of x, y, and z.
If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, then the ratio of these angles is ______.
In parallelogram PQRS, O is the mid point of SQ. Find ∠S, ∠R, PQ, QR and diagonal PR.
Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B = 60°.
Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm.
