Advertisements
Advertisements
प्रश्न
The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and y.
Advertisements
उत्तर
In rhombus ABCD, diagonals AC and BD bisect each other at 90°
∠BCD = 80°
Diagonals bisect the opposite angles also ∠BCD =
∠BAD (Opposite angles of rhombus)
∠BAD = 80° and ∠ABC = ∠ADC = 180° – 80° = 100°
Diagonals bisect opposite angles
∠OCB or ∠PCB =`80^circ/2` = 40°
In ∆PCM,
Ext. CPD = ∠OCB + ∠PMC
110° = 40° + x
⇒ x = 110° – 40° = 70°
and ∠ADO = `1/2` ∠ADC = `1/2 xx 100^circ = 50^circ`
Hence x = 70° and y = 50°
APPEARS IN
संबंधित प्रश्न
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 GUNS and RUNS are parallelogram. Find x and y.
If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.
The measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles?
Find the angles marked with a question mark shown in Fig. 17.27
Which of the following statement is true for a rhombus?
It is a parallelogram.
Fill in the blank, in the following, so as to make the statement true:
A rhombus is a parallelogram in which ......
State with reason whether the following statement is ‘true’ or ‘false’.
Every rhombus is a rectangle.
If all sides of a quadrilateral are equal, it is a ______.
In a rhombus diagonals intersect at ______ angles.
