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
Given below is a parallelogram ABCD. Complete each statement along with the definition or property used.
(i) AD =
(ii) ∠DCB =
(iii) OC =
(iv) ∠DAB + ∠CDA =
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 has only two pairs of equal sides.
Which of the following statement is true for a rhombus?
Two of its angles are at right angles
Fill in the blank, in each of the following, so as to make the statement true:
If the diagonals of a parallelogram bisect each other at right angles, then it is a ......
Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.
State with reason whether the following statement is ‘true’ or ‘false’.
Every parallelogram is a rhombus.
Measure of one angle of a rhombus is 50°, find the measures of remaining three angles.
