Question

the measure of the angle of a quadrilateral are in the ratio2: 4: 5: 7. find the measure of each angle​

Answer 1

Answer:

Step by step explanation in attachment

Answer 2

Step-by-step explanation:

Given:

• The meaure of angles of quadrilateral are in ratio 2 : 4 : 5 : 7.

To Find:

• What is the meaure of each angle ?

Solution: Let x be the common in given ratio and ABCD be a quadrilateral. Therefore,

➱ ∠A = 2x , ∠B = 4x , ∠C = 5x , ∠D = 7x

As we know that

★ Sum of all angles of Quadrilateral = 360° ★

$\implies{\rm }$ ∠A + ∠B + ∠C + ∠D = 360

$\implies{\rm }$ 2x + 4x + 5x + 7x = 360

$\implies{\rm }$ 18x = 360

$\implies{\rm }$ x = 360/18

$\implies{\rm }$ x = 20°

So, Measure of each angles are

➫ ∠A = 2x = 2(20) = 40°

➫ ∠B = 4x = 4(20) = 80°

➫ ∠C = 5x = 5(20) = 100°

➫ ∠D = 7x = 7(20) = 140°

__________________

• A quadrilateral is a polygon of four edges and four vertices.

• Perimeter = Sum of all sides