Math, asked by ekaur333222111444, 1 year ago

b. The four angles of a quadrilateral are (20x - 30), (25x - 25), (5x +15) and (4x + 22)
respectively. Find the angles.​

Answers

Answered by vamshimadineni123
8

Answer:

110,150,50,50

Step-by-step explanation:

as we know a quadrilateral can be cut into two triangles so total sum of angles in a quadrilateral should be 180*2 = 360

so (20x - 30), (25x - 25), (5x +15) and (4x + 22) sum to 360

===> 54x - 18 = 360

===> x = 7

so angles 110,150,50,50

Answered by anuc0693
8

Answer:

Step-by-step explanation:

we know that the sum of angles of quadrilateral is 360,

then, on adding the angles,

20x -30 + 25x - 25 + 5x + 15 +4x + 22 = 360

54x= 378

x=7

Now the angles are

20x - 30 = 20 ×7 - 30 =110

25x - 25 = 25 ×7 -25 = 150

5x + 15 = 5×7 + 15 =50

4x + 22 = 4×7 +22 =50

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