Advertisements
Advertisements
प्रश्न
A quadrilateral has all its four angles of the same measure. What is the measure of each?
Advertisements
उत्तर
\[\text{ Let x be the measure of each angle } . \]
\[ \text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[x° + x° + x° + x° = 360°\]
\[ \Rightarrow 4x° = 360° \]
\[ \Rightarrow x°= 90° \]
\[ \therefore \text{ The measure of each angle is } 90° .\]
APPEARS IN
संबंधित प्रश्न
In a quadrilateral, define of the following Adjacent sides .
Complete of the following, so as to make a true statement:
The number of pairs of opposite angles of a quadrilateral is .......
The angles of a quadrilateral are 110°, 72°, 55° and x°. Find the value of x.
A quadrilateral has three acute angles each measures 80°. What is the measure of the fourth angle?
In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively. Show that:
∠AOB = (∠C + ∠D)
In an isosceles trapezium one pair of opposite sides are _____ to each Other and the other pair of opposite sides are _____ to each other.
In parallelogram ABCD, ∠A = 90°
(i) What is the measure of angle B.
(ii) Write the special name of the parallelogram.
Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.
Using the information given, name the right angles in part of figure:
AC ⊥ BD

Using the information given, name the right angles in part of figure:
AC ⊥ CD

