Question

The angles of a quadrilateral are in the ratio 2:3:5:8. The smallest angle is
a. 20°
b. 40°
c. 60°
d. 50°
lad its.
plzz answer my questions​

Answer 1

Answer:

40

Step-by-step explanation:

sum of all angles Quadilateral is 360

let all the angles be x

2x+3x+5x+8x=360

18x=360

x=20

so 2x=40

Answer 2

Answer:-

The smallest angle of this quadrilateral is 40 °.

Step - by - step explanation:-

Given:-

The ratio of angles of a quadrilateral is

2 : 3 : 5 : 8

To find :-

Find smallest angle of this quadrilateral.

Solution :-

Let, the given angles are

2x ,3x ,5x, 8x .

We know that,

Sum of angles of a quadrilateral = 360°

Hence,

→ 2x + 3x + 5x + 8x = 360

→ 18x = 360

→ x = 20,

Now ,Given angles are→

• 2x= 2×20 = 40°

• 3x= 3×20 = 60°

• 5x= 5×20= 100°

• 8x= 8×20= 160°

Therefore,

The smallest angle of this quadrilateral is 40°.