Advertisements
Advertisements
प्रश्न
If the sum of the two angles of a quadrilateral is 180°. What is the sum of the remaining two angles?
Advertisements
उत्तर
\[\text{ Let } \left( x + y \right) \text{ be the sum of the remaining two angles .} \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[180° + \left( x + y \right)° = 360°\]
\[ \Rightarrow \left( x + y \right)° = 180° \]
\[ \therefore \text{ The sum of the remaining two angles is } 180° .\]
APPEARS IN
संबंधित प्रश्न
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of opposite angles.

If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C + ∠D = k ∠AOB, then find the value of k.
In quadrilateral ABCD, side AB is parallel to side DC. If ∠A : ∠D = 1 : 2 and ∠C : ∠B = 4 : 5
(i) Calculate each angle of the quadrilateral.
(ii) Assign a special name to quadrilateral ABCD
In the given figure : ∠b = 2a + 15 and ∠c = 3a + 5; find the values of b and c.

The angles A, B, C and D of a quadrilateral are in the ratio 2 : 3 : 2 : 3. Show this quadrilateral is a parallelogram.
Find the angles of a quadrilateral whose angles are in the ratio 1: 4: 5: 2.
One angle of a hexagon is 140° and the remaining angles are in the ratio 4 : 3 : 4 : 5 : 4. Calculate the measures of the smallest and the largest angles.
A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is ______.
What conclusion can be drawn from part of given figure, if BD bisects ∠ABC?

Which of the following is a key requirement for correctly naming a □ABCD?
