Advertisements
Advertisements
Question
The following figure is parallelogram. Find the degree values of the unknown x, y, z.

Advertisements
Solution
\[\text{ Sum of all angles in a triangle is } {180}^° . \]
\[ \therefore 30° + 90° + z = 180°\]
\[z = 60°\]
\[\text{ Opposite angles are equal in parallelogram } . \]
\[ \therefore y = z = 60°\]
\[\text{ and } x = 30° (\text{ alternate angles })\]
APPEARS IN
RELATED QUESTIONS
In the following figure GUNS and RUNS are parallelogram. Find x and y.

In the following figure RISK and CLUE are parallelograms. Find the measure of x.

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.
The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?
ABCD is a rhombus. If ∠ACB = 40°, find ∠ADB.
The diagonals of a quadrilateral are of lengths 6 cm and 8 cm. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral?
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 ______.
In a rhombus diagonals intersect at ______ angles.
A rhombus is a parallelogram in which ______ sides are equal.
