Advertisements
Advertisements
प्रश्न
The following figure is parallelogram. Find the degree value of the unknown x, y, z.
Advertisements
उत्तर
\[y = 112° (\text{ opposite angles are equal in a parallelogram })\]
\[\text{ In } ∆ UTW : \]
\[x + y + 40° = 180° (\text{ angle sum property of a triangle })\]
\[x = 180°- (112° - 40°) = 28°\]
\[\text{ Bottom left vertex } = 180°- 112°= 68°\]
\[ \therefore z = x = 28° (\text{ alternate angles })\]
APPEARS IN
संबंधित प्रश्न
Two opposite angles of a parallelogram are (3x − 2)° and (50 − x)°. Find the measure of each angle of the parallelogram.
The measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles?
In a parallelogram ABCD, ∠D = 135°, determine the measure of ∠A and ∠B.
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?
It is a quadrilateral.
Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.
In a rhombus PQRS if PQ = 7.5 cm then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.
If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.
Diagonals PR and QS of a rhombus PQRS are 20 cm and 48 cm respectively. Find the length of side PQ.
In rhombus ABCD;
(i) if ∠A = 74° ; find ∠B and ∠C.
(ii) if AD = 7.5 cm ; find BC and CD.
