Question

Theangles of a quadrilateral are in the ratio of 2:3:6:7 find the smallest angle​

Answer 1

Answer:

40° is the smallest angle.

Step-by-step explanation:

Let the unknown angles be x

So, the angles will be 2x,3x,6x and 7x

2x + 3x + 6x + 7x = 360° (Sum of all angles of a quadrilateral is 360°)

= 18x = 360°

= x = 360/18

= x = 20°

Now, to find all the angles, we have:

2x = 2 x 20 = 40°

3x = 3 x 20 = 60°

6x = 6 x 20 = 120°

7x = 7 x 20 = 140°

To check the answers, we have:

40° + 60° + 120° + 140° = 360°

360° = 360° (The answers are correct)

So, the smallest angle is 40°

Hope it helps you!