Advertisements
Advertisements
प्रश्न
The three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle.
Advertisements
उत्तर
\[\text{ Let x be the the fourth angle } . \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have: } \]
\[110°+ 50° + 40° + x = 360° \]
\[ \Rightarrow 200° + x = 360°\]
\[ \Rightarrow x = 160° \]
\[ \therefore \text{ The fourth angle is 160 } ° .\]
APPEARS IN
संबंधित प्रश्न
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 ................
The following figure shows a quadrilateral in which sides AB and DC are parallel. If ∠A : ∠D = 4 : 5, ∠B = (3x – 15)° and ∠C = (4x + 20)°, find each angle of the quadrilateral ABCD.

If three angles of a quadrilateral are 90° each, show that the given quadrilateral is a rectangle.
Find the angles of a quadrilateral whose angles are in the ratio 1: 4: 5: 2.
The angles of a hexagon are (2x + 5)°, (3x - 5)°, (x + 40)°, (2x + 20)°, (2x + 25)° and (2x + 35)°. Find the value of x.
Calculate the measure of each angle of a nonagon.
In a quadrilateral ABCD, ∠A = 72° and ∠C is the supplementary of ∠A. The other two angles are 2x – 10 and x + 4. Find the value of x and the measure of all the angles
In the following figure, ∠XYZ cannot be written as ______.

If the sum of two angles is greater than 180°, then which of the following is not possible for the two angles?
Using the information given, name the right angles in part of figure:
AE ⊥ CE

