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 values 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.
The perimeter of a parallelogram is 150 cm. One of its sides is greater than the other by 25 cm. Find the length of the sides of the parallelogram.
Which of the following statement is true for a rhombus?
Its diagonals are equal and perpendicular.
Which of the following statement is true for a rhombus?
It can be a square.
Fill in the blank, in the following, so as to make the statement true:
The diagonals of a rhombus ...... each other at ...... angles.
State with reason whether the following statement is ‘true’ or ‘false’.
Every rhombus is a rectangle.
If all pairs of adjacent sides of a quadrilateral are congruent then it is called ______.
If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.
ABCD is a rhombus. If ∠BAC = 38°, find :
(i) ∠ACB
(ii) ∠DAC
(iii) ∠ADC.
