Advertisements
Advertisements
प्रश्न
Consider the given parallelograms. Find the values of the unknowns x, y, z.
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.
In the given figure, G is the point of concurrence of medians of ΔDEF. Take point H on ray DG such that D-G-H and DG = GH, then prove that `square`GEHF is a parallelogram.
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 is perpendicular to BD but is not equal to it?
In parallelogram ABCD, X and Y are midpoints of opposite sides AB and DC respectively. Prove that:
(i) AX = YC
(ii) AX is parallel to YC
(iii) AXCY is a 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 parallelogram MODE, the bisector of ∠M and ∠O meet at Q, find the measure of ∠MQO.
Find the values of x and y in the following parallelogram.
Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B = 60°.
Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.
