Advertisements
Advertisements
Question
In parallelogram ABCD, ∠A = 90°
(i) What is the measure of angle B.
(ii) Write the special name of the parallelogram.
Advertisements
Solution
In parallelogram ABCD, ∠A = 90°
(i) ∵ In a parallelogram, adjacent angles are supplementary
∴ ∠A + ∠B = 180°
⇒ 90° + ∠B = 180°
⇒ ∠B = 180° - 90°
⇒ ∠B = 90°
(ii) The name of the given parallelogram is a rectangle.
APPEARS IN
RELATED QUESTIONS
Complete of the following, so as to make a true statement:
A diagonal of a quadrilateral is a line segment that joins two ...... vertices of the quadrilateral.
In Fig. 16.20, find the measure of ∠MPN.
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
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 an isosceles trapezium one pair of opposite sides are _____ to each Other and the other pair of opposite sides are _____ to each other.
In a parallelogram ABCD, its diagonals AC and BD intersect each other at point O.
If AC = 12 cm and BD = 9 cm ; find; lengths of OA and OD.
The diagonals of the quadrilateral DEFG are ______ and ______.
In the following figure, What is BD – BE?
What conclusion can be drawn from part of given figure, if BD bisects ∠ABC?
Draw a rough sketch of a quadrilateral KLMN. State two pairs of adjacent sides.
