Advertisements
Advertisements
प्रश्न
Measure of one angle of a rhombus is 50°, find the measures of remaining three angles.
Advertisements
उत्तर
Suppose ABCD is a rhombus.
Let m∠A = 50º
Opposite angles of a rhombus are congruentes.
∴ m∠C = m∠A = 50º and m∠B = m∠D
Now,
m∠A + m∠B + m∠C + m∠D = 360º
∴ 50º + m∠B + 50º + m∠D = 360º
⇒ m∠B + m∠D = 360º − 100º = 260º
⇒ 2 m∠B = 260º ...(m∠B = m∠D)
⇒ m∠B = `(260°)/2` = 130°
∴ m∠D = m∠B = 130º
Thus, the measures of the remaining angles of the rhombus are 130º, 50º, and 130º.
संबंधित प्रश्न
The following figure is parallelogram. Find the degree value of the unknown x, y, z.
In the adjacent figure HOPE is a parallelogram. Find the angle measures x,y and z. State the geometrical truths you use to find them.
In the following Figure ABCD is a arallelogram, CE bisects ∠C and AF bisects ∠A. In each of the following, if the statement is true, give a reason for the same:
(i) ∠A = ∠C
(ii) \[\angle FAB = \frac{1}{2}\angle A\]
(iii) \[\angle DCE = \frac{1}{2}\angle C\]
(iv) \[\angle CEB = \angle FAB\]
(v) CE || AF
In a parallelogram ABCD, AB = 10 cm, AD = 6 cm. The bisector of ∠A meets DC in E, AEand BC produced meet at F. Find te length CF.
Which of the following statement is true for a rhombus?
It has two pairs of equal sides.
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.
Identify all the quadrilateral that have Four sides of equal length
If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.
ABCD is a rhombus such that the perpendicular bisector of AB passes through D. Find the angles of the rhombus.
Hint: Join BD. Then ∆ABD is equilateral.
