Advertisements
Advertisements
Question
If the sum of the two angles of a quadrilateral is 180°. What is the sum of the remaining two angles?
Solution
\[\text{ Let } \left( x + y \right) \text{ be the sum of the remaining two angles .} \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[180° + \left( x + y \right)° = 360°\]
\[ \Rightarrow \left( x + y \right)° = 180° \]
\[ \therefore \text{ The sum of the remaining two angles is } 180° .\]
APPEARS IN
RELATED QUESTIONS
In a quadrilateral, define of the following Angles .
A quadrilateral has three acute angles each measures 80°. What is the measure of the fourth angle?
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.
Mark the correct alternative in each of the following:
The opposite sides of a quadrilateral have
Two angles of a quadrilateral are 89° and 113°. If the other two angles are equal; find the equal angles.
Two angles of a quadrilateral are 68° and 76°. If the other two angles are in the ratio 5 : 7; find the measure of each of them.
Angle A of an isosceles trapezium ABCD is 115°; find the angles B, C and D.
Observe the figure below and find out their name.
Find the angles of a pentagon which are in the ratio 4: 4: 6: 7: 6.
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
