Question

The
angles of a quadrilateral
quadrilateral are in the ratio
2:3:4:6 Find the measures of each of the four angles

plese answer this question
with explanation plese​

Answer 1

Correct Question :

The angles of a quadrilateral are in the ratio 2:3:4:6 . Find the measures of each of the four angles .

Solution :

Given

• Angles of quadrilateral are in ratio of 2:3:4:6

To Find

• All the angles of quadrilateral

Let us find all the angles

• Let the unknown entity be " x "

Now , the angles become 2x , 3x , 4x and 6x

$\star \: \underline {\sf{Angle\:sum\: property\:of\:quadrilateral\:=\:{360}^{\degree}}}$

Now , According To The Question :

→ 2x + 3x + 4x + 6x = 360°

→ 15x = 360°

→ x = 360°/15

→ x = 24°

$\:\:\:\: \bigstar \large \underline {\sf{Value\:of\:x\:is\:{24}^{\degree}}}$

• Measure of each angle :

→ Angle 1 = 2x = 2(24) = 48°

→ Angle 2 = 3x = 3(24) = 72°

→ Angle 3 = 4x = 4(24) = 96°

→ Angle 4 = 6x = 6(24) = 144°

_________________________

Answer 2

Given :-

ratio = 2:3:4:6

To Find :-

Angles

Solution :-

Let the angle be 2x, 3x, 4x, 6x

Sum of all angles in a quadrilateral = 360

$\sf\dashrightarrow 360 =2x+3x+4x+6x$

$\sf\dashrightarrow 360 = 5x + 10x$

$\sf\dashrightarrow 360 = 15x$

$\sf\dashrightarrow \dfrac{360}{15} = x$

$\sf\dashrightarrow 24 = x$

Angle are

48

72

96

144