Advertisements
Advertisements
प्रश्न
Find the values of x and y in the following parallelogram.

Advertisements
उत्तर
In a parallelogram, adjacent angles are supplementary.
∴ 120° + (5x + 10)° = 180°
⇒ 5x + 10° + 120° = 180°
⇒ 5x = 180° – 130°
⇒ 5x = 50°
⇒ x = 10°
Also, opposite angles are equal in a parallelogram.
Therefore, 6y = 120°
⇒ y = 20°
APPEARS IN
संबंधित प्रश्न
Perimeter of a parallelogram is 150 cm. One of its sides is greater than the other side by 25 cm. Find the lengths of all sides.
In the given figure, `square`PQRS and `square`ABCR are two parallelograms. If ∠P = 110° then find the measures of all angles of `square`ABCR.

In parallelogram PQRS, ∠Q = (4x – 5)° and ∠S = (3x + 10)°. Calculate: ∠Q and ∠R.
ABCD is a parallelogram. What kind of quadrilateral is it if : AC = BD and AC is perpendicular to BD?
In the following diagram, the bisectors of interior angles of the parallelogram PQRS enclose a quadrilateral ABCD.

Show that:
(i) ∠PSB + ∠SPB = 90°
(ii) ∠PBS = 90°
(iii) ∠ABC = 90°
(iv) ∠ADC = 90°
(v) ∠A = 90°
(vi) ABCD is a rectangle
Thus, the bisectors of the angles of a parallelogram enclose a rectangle.
If a triangle and a parallelogram lie on the same base and between the same parallels, then prove that the area of the triangle is equal to half of the area of parallelogram
Iron rods a, b, c, d, e, and f are making a design in a bridge as shown in the figure. If a || b, c || d, e || f, find the marked angles between d and e
If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, then the ratio of these angles is ______.
In the following figure of a ship, ABDH and CEFG are two parallelograms. Find the value of x.

Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B = 60°.
