Advertisements
Advertisements
प्रश्न
ABCD is a rhombus. If ∠BCA = 35°. find ∠ADC.
Advertisements
उत्तर
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
संबंधित प्रश्न
Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.
The sum of two opposite angles of a parallelogram is 130°. Find all the angles of the parallelogram.
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 all its sides of equal lengths.
Which of the following statement is true for a rhombus?
It is a quadrilateral.
ABCD is a rhombus whose diagonals intersect at O. If AB = 10 cm, diagonal BD = 16 cm, find the length of diagonal AC.
In a rhombus PQRS if PQ = 7.5 cm then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.
Measure of one angle of a rhombus is 50°, find the measures of remaining three angles.
A quadrilateral whose all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ______.
If all sides of a quadrilateral are equal, it is a ______.
