Find the smallest angle of a quadrilateral if it angles are in the ratio 2:3:4:6
Answers
Answer:
48 is smallest angle of triangle
Answer:
48°
Step-by-step explanation:
To find--> Smallest angle of a quadrilateral if it angles are in the ratio
2:3:4:6
Solution--> We know that sum of angles of quadrilateral are 360°.
Let quadrilateral be ABCD so angles of quadrilateral are A , B ,C ,D
ATQ
A : B : C : D = 2 : 3 : 4 : 6
Let angles be
A = 2x , B= 3x , C= 4x , D = 6x
Now
Sum of angles of quadrilateral = 360°
=> A + B + C + D = 360°
=> 2x + 3x + 4x + 6x = 360°
=> 15x = 360°
=> x = 360° / 15
=> x = 24°
Now we find smallest angle which is A
A = 2x
= 2 (24°)
A = 48°
Other angles are
B = 3x
= 3 (24°)
= 72°
C= 4x
= 4 ( 24°)
= 96°
D = 6x
= 6 ( 24° )
= 144°