Advertisements
Advertisements
Question
The following figure is parallelogram. Find the degree values of the unknowns x, y, z.
Advertisements
Solution
\[\text{ Opposite angles of a parallelogram are same } . \]
\[ \therefore x = z \text{ and } y = 100°\]
\[\text{ Also }, y + z = 180° (\text{ sum of adjacent angles of a quadrilateral is } 180°)\]
\[z + 100°= 180°\]
\[x = 180° - 100°\]
\[x = 80°\]
\[ \therefore x = 80°e, y = 100° \text{ and } z = 80°\]
APPEARS IN
RELATED QUESTIONS
Name the quadrilaterals whose diagonals are perpendicular bisectors of each other
In the following figure GUNS and RUNS are parallelogram. Find x and y.
Which of the following statement is true for a rhombus?
Its diagonals are equal and perpendicular.
Fill in the blank, inthe following, so as to make the statement true:
A square is a rhombus in which .....
The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?
The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is 'No', draw a figure to justify your answer.
State with reason whether the following statement is ‘true’ or ‘false’.
Every parallelogram is a rhombus.
If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.
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 ______.
