the angles of quadrilaterals are in ratio 3:4:5:6. Find smallest angle and largest angle
Answers
Answered by
1
Answer:
below
Step-by-step explanation:
smallest angke is 60 and largest angle is 120
Answered by
0
Answer:
the ratio of 3:4:5:6
Step-by-step explanation:
Given ratio of angles of quadrilateral ABCD is 3:4:5:6
Let the angles of quadrilateral ABCD be 3x,4x,5x,6x respectively.
We know, by angle sum property, the sum of angles of a quadrilateral is 360
o
.
⇒3x+4x+5x+6x=360
o
⇒18x=360
o
∴x=20
o
.
∴∠A=3x=3×20
o
=60
o
,
∠B=4x=4×20
o
=80
o
,
∠C=5x=5×20
o
=100
o
and ∠D=6x=6×20
o
=120
o
.
∴ The greatest angle is =120
o
and the smallest angle is =60
o
.
Therefore, the difference between the greatest and the smallest angle is =120
o
−60
o
=60
o
.
Hence, option B is correct.
Similar questions