Question

the angle of a quadrilateral are in the ratio the 2:3:4:6. find the measure of this angle​

Answer 1

Step-by-step explanation:

$\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}$

Given Ratio of angles :-2:3:4:6

Let each angle of the quadrilateral be 2x,3x,4x and 6x.

Sum of all the angles of a quadrilateral =360

∴2x+3x+4x+6x=360

⇒15x=360

⇒x=360/15

⇒x=24

∴ required angles are 2×24=48

,3×24 =72

,4×24 =96

,6×24 =144

Answer 2

$\large \sf \green {\boxed {Sum\: of \: all \:angles\: in\: quadrilateral \:is \:360°}}$

2x + 3x + 4x + 6x = 15x = 360°

x = 360°/15

x = 24°

First angle = 2x = 2x24° = 48°

Second angle = 3x = 3x 24° = 72°

Third angle = 4x = 4x24° = 96°

Fourth angle = 6x = 6x24° = 144°