Advertisements
Advertisements
Question
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
Advertisements
Solution
\[\text{ Opposite angles of a parallelogram are equal } . \]
\[ \therefore \angle C = 70° = \angle A . \]
\[ \angle B = \angle D\]
\[\text{ Also, the sum of the adjacent angles of a parallelogram is } 180°. \]
\[ \therefore \angle A + \angle B = 180°\]
\[70° + \angle B = 180°\]
\[\angle B = 110°\]
\[ \therefore \angle B = 110°, \angle C = 70°\text{ and } \angle D = 110°\]
APPEARS IN
RELATED QUESTIONS
Can the following figure be parallelogram. Justify your answer.
Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.
In a parallelogram ABCD, ∠D = 135°, determine the measure of ∠A and ∠B.
Which of the following statement is true for a rhombus?
Its diagonals bisect each other at right angles.
ABCD is a rhombus. If ∠ACB = 40°, find ∠ADB.
If the diagonals of a rhombus are 12 cm and 16cm, find the length of each side.
ABCD is a rhombus and its diagonals intersect at O.
(i) Is ∆BOC ≅ ∆DOC? State the congruence condition used?
(ii) Also state, if ∠BCO = ∠DCO.
Diagonals of a parallelogram intersect each other at point O. If AO = 5, BO = 12 and AB = 13 then show that `square`ABCD is a rhombus.
A Rangoli has been drawn on a flor of a house. ABCD and PQRS both are in the shape of a rhombus. Find the radius of semicircle drawn on each side of rhombus ABCD.
Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.
