Question

If interior angles of a Quadrilateral are in the ratio 1:2:3:4
Then find the each interior angle of quadrilateral

Answer 1

Answer:

Let,The measure of angle is x,2x,3x,4x

we know that sum of all measurement of all angle is 360°

A/Q,

x+2x+3x+4x=360°

= 10x=360°

= x=36°

= 2x=2×36°= 72°

= 3x= 3×36°= 108°

= 4x=4×36°= 144°

the measure of angles of quadrilateral are 36°,72°,108°, and 144°

Answer 2

Answer:

The angles are 36°,72°,108° and 144°.

Step-by-step explanation:

Let the angles be :

• 1y
• 2y
• 3y
• 4y

Angle sum property of quadrilaterals'° says that all angles' sum is 360°

⇒ 1y + 2y + 3y + 4y = 360°  

⇒ 10y  = 360

⇒ y  = 360/10

⇒ y  = 36

Angles are,

⇒ 1y = 1(36) = 36°

⇒ 2y = 2(36) = 72°

⇒ 3y = 3(36) = 108°

⇒ 4y = 4(36) = 144°

Therefore, the angles are 36°,72°,108° and 144°.