Question

The angles of a quadrilateral are in the ratio 1:2:3:4. Hence the measurement of smallest angle is​

Answer 1

Answer:

60 will be the answer to your question

Step-by-step explanation:

Because to find

Given, quadrilateral

Is 1: 2: 3: 4 all comes in one ratio is 10:50 then it be a ratio

Add this both

10+ 50

= 60

Therefore the answer is 60

Answer 2

Answer:

36°

Step-by-step explanation:

Given,

• Ratio of the angles 1:2:3:4

To find,

• The measure of the smallest angle.

Knowledge required,

• The sum of all the angles of a quadrilateral is 360°.

Let 1x ,2x ,3x and 4x be the angles of the quadrilateral.

Finding x :

1x + 2x + 3x + 4x = 360°

⇒ 10x = 360°

⇒ x = 360°/10

⇒x = 36°

.°. x = 36°

Finding angles :

1x = 1 × 36° → 36°

2x = 2 × 36° → 72°

3x = 3x × 36° → 108°

4x = 4x × 36° → 144°

Hence, the measure of the smallest angle is 36°.

$\rm\blue{So,done!}$