Advertisements
Advertisements
प्रश्न
Consider the given parallelograms. Find the values of the unknowns x, y, z.
Advertisements
उत्तर
x = 90° (Vertically opposite angles)
x + y + 30° = 180° (Angle sum property of triangles)
90° + 30° + y = 180°
120° + y = 180°
y = 180° − 120° = 60° ...[Since alternate angles are equal in a parallelogram]
y = z = 60°
Thus x = 90°, y = 60° and z = 60°
APPEARS IN
संबंधित प्रश्न
Consider the given parallelogram. Find the values of the unknowns x, y, z.
The following figure GUNS is a parallelogram. Find x and y. (Lengths are in cm)
In the above figure both RISK and CLUE are parallelograms. Find the value of x.
Referring the adjacent figure of a parallelogram, write the answer of questions given below.
(1) If l(WZ) = 4.5 cm then l(XY) = ?
(2) If l(YZ) = 8.2 cm then l(XW) = ?
(3) If l(OX) = 2.5 cm then l(OZ) = ?
(4) If l(WO) = 3.3 cm then l(WY) = ?
(5) If m∠WZY = 120° then m∠WXY = ? and m∠XWZ = ?
PQRS is a parallelogram whose diagonals intersect at M.
If ∠PMS = 54°, ∠QSR = 25° and ∠SQR = 30° ; find :
(i) ∠RPS
(ii) ∠PRS
(iii) ∠PSR.
ABCD is a parallelogram. What kind of quadrilateral is it if: AC = BD but AC is not perpendicular to BD?
In parallelogram ABCD, E is the mid-point of AD and F is the mid-point of BC. Prove that BFDE is a parallelogram.
Which of the following is a property of a parallelogram?
ABCD is a parallelogram. Find the value of x, y and z.
In the following figure, FD || BC || AE and AC || ED. Find the value of x.
