Question

☸The angles of a quadrilateral are in the ratio 3:4:5:6 . The smallest of these angles is what ❓ (a) 36° (b) 45° (c) 60° (d) 50°

Answer 1

Answer:

Step-by-step explanation:

Hello.....

Sum of all angles of a quadrilateral is 360°.

Let the angles be 3x, 4x, 5x and 6x

So,

3x + 4x+ 5x + 6x = 360

18x = 360

Solving we get:-

x = 20

So the smallest angle is 20 × 3 = 60°✔

Answer 2

AnswEr:-

❀ The measure of smallest angle is 60°.

ExplanaTion:-

Given:-

• The angles of a quadrilateral are in ratio 3:4:5:6.

To Find:-

• The smallest angle.

Concept Used:-

• Sum of all angles of a quadrilateral is always equal to 360°.

Now,

Since the angles are in ratio 3:4:5:6.

So let the angles be 3x, 4x, 5x and 6x respectively.

Therefore,

↦ 3x + 4x + 5x + 6x = 360°.

↦ 7x + 11x = 360°.

↦ 18x = 360°.

↦ x = 360°/18.

↦ x = 20°.

So, The angles are:-

• 3x = 3 × 20° = 60°.

• 4x = 4 × 20° = 80°.

• 5x = 5 × 20° = 100°.

• 6x = 6 × 20° = 120°.

❝Therefore the smallest angle is 60°.❞

So The Final Answer Is Option C.