Question

the angle of quadrilateral are in the ratio 2:3:6:7 what is the measure of its smallest angle​

Answer 1

AnswEr :-

• Smallest angle of the quadrilateral is 40°.

Given :-

• The angles of quadrilateral are in the ratio 2:3:6:7.

To Find :-

• Measure of the smallest angle.

SoluTion :-

Put x in the ratio

Now, angles are

• 2x
• 3x
• 6x
• 7x

We know that the sum of all angles of a quadrilateral is 360°.

According to question :-

2x + 3x + 6x + 7x = 360

→ 5x + 13x = 360

→ 18x = 360

→ x = 360/18

→ x = 20

Now,

Angles are

• 2x = 2 × 20 = 40°
• 3x = 3 × 20 = 60°
• 6x = 6 × 20 = 120°
• 7x = 7 × 20 = 140°

Verification :-

40° + 60° + 120° + 140° = 360°

→ 100° + 120° + 140° = 360°

→ 260° + 100° = 360°

→ 360° = 360°

Verified

Hence, the smallest angle of the quadrilateral is 40°.

_____________________

Answer 2

Answer:

AnswEr :-

Smallest angle of the quadrilateral is 40°.

Given :-

The angles of quadrilateral are in the ratio 2:3:6:7.

To Find :-

Measure of the smallest angle.

SoluTion :-

Put x in the ratio

Now, angles are

2x

3x

6x

7x

We know that the sum of all angles of a quadrilateral is 360°.

According to question :-

2x + 3x + 6x + 7x = 360

→ 5x + 13x = 360

→ 18x = 360

→ x = 360/18

→ x = 20

Now,

Angles are

2x = 2 × 20 = 40°

3x = 3 × 20 = 60°

6x = 6 × 20 = 120°

7x = 7 × 20 = 140°

Verification :-

40° + 60° + 120° + 140° = 360°

→ 100° + 120° + 140° = 360°

→ 260° + 100° = 360°

→ 360° = 360°

Verified

Hence, the smallest angle of the quadrilateral is 40°.

_____________________