Advertisements
Advertisements
Question
ABCD is a rhombus. If ∠BCA = 35°. find ∠ADC.
Advertisements
Solution
Given : Rhombus ABCD in which ∠BCA = 35°
To find : ∠ADC
Proof : AD || BC
∠DAC = ∠BCA (Alternate ∠s)
But ∠BCA = 35° (Given)
∠DAC = 35°
But ∠DAC = ∠ACD ( AD = CD) & ∠DAC +∠ACD + ∠ADC = 180°
35°+ 35° + ∠ADC = 180°
∠ADC = 180° – 70° = 110°
Hence ∠ADC = 110°
APPEARS IN
RELATED QUESTIONS
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 =
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.
Which of the following statement is true for a rhombus?
It has two pairs of parallel sides.
Which of the following statement is true for a rhombus?
It is a quadrilateral.
If the diagonals of a rhombus are 12 cm and 16cm, find the length of each side.
Show that each diagonal of a rhombus bisects the angle through which it passes.
If all pairs of adjacent sides of a quadrilateral are congruent then it is called ______.
ABCD is a rhombus. If ∠BAC = 38°, find :
(i) ∠ACB
(ii) ∠DAC
(iii) ∠ADC.
If the diagonal of a rhombus are equal, then the rhombus is a
