Math, asked by sanikapol94, 6 hours ago

in a quadrilateral the sum of three angles is equal to twice the fourth angle the measure of the fourth angle is.​

Answers

Answered by Aliraja7860123
9

Step-by-step explanation:

1)In a quadrilateral the sum of three angles is equal to twice the fourth angle the measure of the fourth angle is.

Solution,

let the fourth angle be x

according to the question, the sum of

three angles of the quadrilateral is equal

to fourth angle, therefore

2x+x=360°

3x=360°

x=360°/3-120°

Hence, measurement of the fourth angle

of the quadrilateral is 120°

Attachments:
Answered by sivaswethbe
3

Answer:

120

Step-by-step explanation:

Sum of all angles in a quadrilateral  = 360

Let the angles be A,B,C & D

A + B + C = 2D                                  ---(1)

A + B + C + D = 360

2D + D = 360                                   from(1)

3D = 360

D = 360/3

D = 120

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