Advertisements
Advertisements
प्रश्न
Consider the given parallelograms. Find the values of the unknowns x, y, z.
Advertisements
उत्तर
Since x + 80° = 180° ...[Sum of adjacent angles is 180°]
x = 180° − 80° = 100°
Also 80° = y ...[∵ Opposite angles are equal in a parallelogram]
And x = 180° − z ⇒ 100° = 180° − z
⇒ z = 180° − 100° = 80°
Thus x = 100°, y = 80° and z = 80°
APPEARS IN
संबंधित प्रश्न
The following figure GUNS is a parallelogram. Find x and y. (Lengths are in cm)
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 the given figure, `square`ABCD is a parallelogram. Point E is on the ray AB such that BE = AB then prove that line ED bisects seg BC at point F.
Construct a parallelogram ABCD such that l(BC) = 7 cm, m∠ABC = 40° , l(AB) = 3 cm.
PQRS is a parallelogram whose diagonals intersect at M.
If ∠PMS = 54°, ∠QSR = 25° and ∠SQR = 30° ; find :
(i) ∠RPS
(ii) ∠PRS
(iii) ∠PSR.
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 c and f
If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, then the ratio of these angles is ______.
If opposite angles of a quadrilateral are equal, it must be a parallelogram.
In parallelogram MODE, the bisector of ∠M and ∠O meet at Q, find the measure of ∠MQO.
The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 45°. Find the angles of the parallelogram.
