Question

the angle
quadrilateral are in the ratio 1:3:5:6 find
the measures of smanest angle
​

Answer 1

Answer:

let the angle of quadrilateral be x

X, 3X, 5x, and 6x.

a/q.

x+ 3x+ 5x+ 6x= 360°

15x= 360°.

x= 360/ 15

x== 24°

X= 24° 3X= 3× 24= 72°

5x= 24×5= 120°

6x= 6× 24= 144.......

smallest angle = 72°

.

Answer 2

Answer :

• Measure of the smallest angle is 24°.

Given :

• The angles of a quadrilateral are in the ratio 1 : 3 : 5 : 6.

To Find :

• Measure of the smallest angle.

Solution :

Here

• Angles of a quadrilateral are in the ratio 1 : 3 : 5 : 6 .

Put x in the ratio

Now, angles are

• x
• 3x
• 5x
• 6x

As we know that

• Sum of all angles of a quadrilateral is 360°

According to question :

→ x + 3x + 5x + 6x = 360°

→ 4x + 11x = 360°

→ 15x = 360°

→ x = 360/15

→ x = 24°

Put the value of x in the ratio

• First angle = x = 24°
• Second angle = 3x = 24(3) = 72°
• Third angle = 5x = 24(5) = 120°
• Fourth angle = 6x = 24(6) = 144°

Hence, the smallest angle is 24°.