Question

If the angles of a quadrilateral are in the ratio 2:3:4:6,find them
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Answer 1

Step-by-step explanation:

In a quadrilateral, the measures of the angles are in the ratio of 2:3:4:6. How do you find the measure of the largest angle?

Add 2+3+4+6 = 15.

The sum of the angles of a quadrilateral = 360 = 2x+3x+4x+6x

where 15x = 360, or

x = 360/15 = 24.

Hence the four angles of the quadrilateral are

2x = 2x24 = 48 degrees

3x = 3x24 = 72 degrees

4x = 4x24 = 96 degrees

5x = 6x24 = 144 degrees

The largest angle is therefore 144 degrees.

we have the ratio of angles as 2 : 3 : 4 : 6. Let the first angle be 2x, so then according to the ratio, the angles will be 2x,3x,4x,6x. x=360∘15=72∘3=24∘. Hence, x=24∘.

Answer 2

$\huge\bf\purple{\underline{\mathfrak{Given:-}}}$

angle of quadrilateral are in the ratio 2:3:4:6

$\huge\bf\purple{\underline{\mathtt{Solution:-}}}$

let the ratio of angle be x = 2x,3x,4x,6x

The sum of interior angle of quadrilateral is= 360°

➠ 2x+3x+4x+6x = 360

➠15x = 360

➠x = 24

→ The angle of 2x => 2×24

=> 48°

→The angle of 3x => 3× 24

=> 72°

→The angle of 4x =>4 ×24

=> 96°

→The angle of 6x => 6× 48

=> 144°