Advertisements
Advertisements
प्रश्न
A quadrilateral has all its four angles of the same measure. What is the measure of each?
Advertisements
उत्तर
\[\text{ Let x be the measure of each angle } . \]
\[ \text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[x° + x° + x° + x° = 360°\]
\[ \Rightarrow 4x° = 360° \]
\[ \Rightarrow x°= 90° \]
\[ \therefore \text{ The measure of each angle is } 90° .\]
संबंधित प्रश्न
Complete of the following, so as to make a true statement:
In a quadrilateral the point of intersection of the diagonals lies in .... of the quadrilateral.
The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.
Complete the following statement by means of one of those given in brackets against each:
If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................
Complete the following statement by means of one of those given in brackets against each:
A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point.
If ABCD is a rectangle with ∠BAC = 32°, find the measure of ∠DBC.
In ΔABC, E is the mid-point of median AD such that BE produced meets AC at F. IF AC = 10.5 cm, then AF =
ABCDE is a regular pentagon. The bisector of angle A of the pentagon meets the side CD in point M. Show that ∠AMC = 90°.
Calculate the measure of each angle of a nonagon.
In the following figure, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of ∠BPY is ______.
In the following figure, name any four angles that appear to be acute angles.
