Advertisements
Advertisements
प्रश्न
In a trapezium ABCD, side AB is parallel to side DC. If ∠A = 78° and ∠C = 120. find angles B and D.
Advertisements
उत्तर
∵ AB || DC and BC is transversal
∴∠B and ∠C, ∠A and ∠D are Cointerior angles with their sum = 180°
i.e. ∠B + ∠C = 180°
⇒ ∠B + 120° = 180°
⇒ ∠B = 180° – 120°
⇒ ∠B = 60°
Also ∠A + ∠D = 180°
⇒ 78° + ∠D = 180°
⇒ ∠D = 180° – 78°
∠D = 102°
APPEARS IN
संबंधित प्रश्न
How many diagonals does following have?
A triangle
In a quadrilateral, define of the following Adjacent angles .
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of adjacent angles.
Complete the following statement by means of one of those given in brackets against each:
If one pair of opposite sides are equal and parallel, then the figure is ........................
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.
In quadrilateral ABCD, side AB is parallel to side DC. If ∠A : ∠D = 1 : 2 and ∠C : ∠B = 4 : 5
(i) Calculate each angle of the quadrilateral.
(ii) Assign a special name to quadrilateral ABCD
Use the following figure to find the value of x
In the following figure,
∠AOD is a/an ______ angle
An angle is said to be trisected, if it is divided into three equal parts. If in the following figure, ∠BAC = ∠CAD = ∠DAE, how many trisectors are there for ∠BAE?
Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?
