A quadrilateral has angles in the ratio 3:4:5:6. Find
the measure of each angle of the quadrilateral.
Answers
Step-by-step explanation:
In a quadilateral the angles add up to
360
Let's call the angles
3x, 4x,5x,6x
Then:
3x+4x+5x+6x=360
=18x=360
=x=20
Substituting the value of x
Then the angles are
60, 80,100,120
Correct question:-
A quadrilateral has angles in the ratio 3:4:5:6.Find the measure of each angle of the quadrilateral.
Given:-
•Ratio of angles of the quadrilateral=3:4:5:6
To find:-
•Measure of each angle of the quadrilatetal.
Solution:-
Let the angles of the quadrilateral be 3x,4x,5x and 6x respectively.
Now,we know that sum of all angles of a quadrilateral is 360°
So,by using the above concept we get:-
=>3x+4x+5x+6x=360
=>18x=360
=>x=360/18
=>x=20
Here,we have got the value of x=20
Thus,the angles of the quadrilateral are:-
•3×20=60°
•4×20=80°
•5×20=100°
•6×20=120°
Verification:-
Now,we shall verify our answer by taking 60°,80°,100° and 120° in LHS and 360° in the RHS(as sum of four angles of a quadrilatetal is 360°).
LHS RHS
=>60+80+100+120 = 360
=>360=360
Hence,LHS=RHS verified