Advertisements
Advertisements
प्रश्न
Use the following figure to find the value of x

Advertisements
उत्तर
The sum of exterior angles of a quadrilateral

⇒ y + 80° + 60° + 90° = 360°
⇒ y + 230° = 360°
⇒ y = 360° – 230° = 130°
At vertex A,
∠y + ∠x = 180° (Linear pair)
x = 180° – 130°
⇒ x = 50°
APPEARS IN
संबंधित प्रश्न
How many diagonals does following have?
A regular hexagon
Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.
Two angles of a quadrilateral are 68° and 76°. If the other two angles are in the ratio 5 : 7; find the measure of each of them.
Angle A of an isosceles trapezium ABCD is 115°; find the angles B, C and D.
If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then ABCD is a ______.
D and E are the mid-points of the sides AB and AC respectively of ∆ABC. DE is produced to F. To prove that CF is equal and parallel to DA, we need an additional information which is ______.
In the following figure, What is BD – DE?

What conclusion can be drawn from part of given figure, if BD bisects ∠ABC?

Investigate :
Use strips and fasteners to make a triangle and a quadrilateral.
Try to push inward at any one vertex of the triangle. Do the same to the quadrilateral. Is the triangle distorted? Is the quadrilateral distorted? Is the triangle rigid?
Why is it that structures like electric towers make use of triangular shapes and not quadrilaterals?
Which of the following is a key requirement for correctly naming a □ABCD?
