Advertisements
Advertisements
प्रश्न
Use the information given in the following figure to find the value of x.
Advertisements
उत्तर
Take A, B, C, D as the vertices of Quadrilateral and BA is produced to E (say).
Since ∠EAD = 70°
∴ ∠DAB = 180° – 70°= 110° [EAB is a straight line and AD stands on it ∠EAD+ ∠DAB = 180°]
∴ 110° + 80° + 56° + 3x – 6° = 360°
[∵ sum of interior angles of a quadrilateral = 360°]
∴ 3x = 360° – 110° – 80° – 56° + 6°
3x = 360° – 240° = 120°
∴ x = 40°
संबंधित प्रश्न
The perimeter of a parallelogram is 22 cm . If the longer side measures 6.5 cm what is the measure of the shorter side?
In a quadrilateral, define of the following Sides.
In Fig. 16.21, the bisectors of ∠A and ∠B meet at a point P. If ∠C = 100° and ∠D = 50°, find the measure of ∠APB.
In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angle of the quadrilateral.
The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.
The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the number of sided of the polygon.
If ABCD is a rectangle with ∠BAC = 32°, find the measure of ∠DBC.
The following figure shows a quadrilateral in which sides AB and DC are parallel. If ∠A : ∠D = 4 : 5, ∠B = (3x – 15)° and ∠C = (4x + 20)°, find each angle of the quadrilateral ABCD.
The angles A, B, C and D of a trapezium ABCD are in the ratio 3: 4: 5: 6. Le. ∠A : ∠B : ∠C : ∠D = 3:4: 5 : 6. Find all the angles of the trapezium. Also, name the two sides of this trapezium which are parallel to each other. Give reason for your answer.
In parallelogram ABCD, its diagonals intersect at point O. If OA = 6 cm and OB = 7.5 cm, find the length of AC and BD.
Write two conditions that will make the adjoining figure a square.
Observe the figure below and find out their name.
The angles of a hexagon are (2x + 5)°, (3x - 5)°, (x + 40)°, (2x + 20)°, (2x + 25)° and (2x + 35)°. Find the value of x.
ABCD is a rhombus such that ∠ACB = 40º. Then ∠ADB is ______.
What is the maximum number of obtuse angles that a quadrilateral can have?
In the following figure,
∠AOD is a/an ______ angle
The number of right angles in a straight angle is ______ and that in a complete angle is ______.
Using the information given, name the right angles in part of figure:
AE ⊥ CE
Using the information given, name the right angles in part of figure:
AC ⊥ CD
