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
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of adjacent sides.
In a quadrilateral ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that \[∠COD = \frac{1}{2}(∠A + ∠B) .\]
The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the number of sided of the polygon.
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.
If one angle of a cyclic quadrilateral is 75°, then the opposite angle is
A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is ______.
The number of straight angles in the following figure is ______.
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
