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