Advertisements
Advertisements
प्रश्न
ABCD is a parallelogram. Find the value of x, y and z.
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
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 AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm?
Name the quadrilaterals whose diagonals bisect each other
Ratio of two adjacent sides of a parallelogram is 3 : 4, and its perimeter is 112 cm. Find the length of its each side.
Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm
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 b and c
In the following figure of a ship, ABDH and CEFG are two parallelograms. Find the value of x.
A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? Give reason.
The following figure RUNS is parallelogram. Find x and y. (Lengths are in cm)
