Question

The angles of a quadrilateral are in the ratio 1:2:3 : 4. If the sum of the angle of the quadrilateral is 360°, find the measure of each angle​

Answer 1

Step-by-step explanation:

Consider angles as x, 2x, 3x and 4x

Angle sum property of quadrilateral = Sum of interior angles of quadrilateral is 360°

➨ x + 2x + 3x + 4x = 360°

➨ 10x = 360°

➨ x = 360/10

➨ x = 36°

One angle is 36°

Angle 2x = 2(36) = 72°

Angle 3x = 2(36) = 108°

Angle 4x = 4(36) = 144°

The angles are 36°, 72°, 108° and 144°.

Answer 2

Ratio=1:2:3:4
Therefore let the angles be, x,2x,3x and 4x
So, x+2x+3x+4x= 360
10x= 360
x= 360/10=36
So,
x=36
2x= 72
3x= 108
4x= 144

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