Q. 25.0( 7 Votes )
The angels of a quadrilateral are in the ration 1:2:3:4. Find the measure of each angle.
Let x be the common multiple.
As per question,
A = x
B = 2x
C = 3x
D = 4x
As we know that, Sum of all four angles of quadrilateral is 360o.
A + B + C + D = 360°
x + 2x + 3x + 4x = 360°
10x = 360°
A = 1 X 36° = 36°
B = 2 X 36° = 72°
C = 3 X 36° = 108°
D = 4 X 36° = 144°
So, Angles of quadrilateral are 36°, 72°, 108° and 144°.
Rate this question :
Fill in the blanks to make the statements true.
A nonagon has _______ sides.NCERT - Mathematics Exemplar
The number of sides of a regular polygon who’s each interior angle is of 135° isNCERT - Mathematics Exemplar
The measure of each exterior angle of a regular polygon is 40°. How many sides does it have?RS Aggarwal - Mathematics
The sum of all interior angles of a regular polygon is 1080°. What is the measure of each of its interior angles?RS Aggarwal - Mathematics
The sum of all interior angles of a hexagon isRS Aggarwal - Mathematics