Advertisements
Advertisements
Question
The angles of a quadrilateral are 110°, 72°, 55° and x°. Find the value of x.
Advertisements
Solution
\[\text{ The sum of anlges of a quadilateral is } 360°. \]
\[\text{ So, we get } 110° + 72° + 55° + x = 360° \]
\[ \Rightarrow 237°+ x = 360° \]
\[ \Rightarrow x = 360° - 237° \]
\[ \therefore x = 123° \]
RELATED QUESTIONS
What is the sum of the measures of the angels of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)
In a quadrilateral, define of the following Angles .
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.
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.
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 a parallelogram ABCD, its diagonals AC and BD intersect each other at point O.
If AC = 12 cm and BD = 9 cm ; find; lengths of OA and OD.
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.
If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a ______.
If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is ______.
Draw a rough sketch of a quadrilateral KLMN. State two pairs of opposite angles.
