Question

the angles of a quadiretral are (5x)degrees, (3x+10) degrees , (6x - 20) degrees and (x+25)degrees . Find (i) the value of x and (ii) the mesaure of each angle of the quadiretral​

Answer 1

Answer:

x = 25

Angles are:

125°

85°

130°

50°

Step-by-step explanation:

By angle sum property of a quadrilateral,

Sum of all sides is 360°,

So,

(5x) + (3x + 10) + (6x - 20) + (x + 25) = 360

5x + 3x + 6x + x + 10 -20 +25 = 360

15x + 15 = 360

15(x + 1) = 360

x + 1 = 360/15

x + 1 = 24

x = 24 + 1

x = 25

5x

= 5 × 25

= 125°

3x + 10

= 3(25) + 10

= 85°

6x - 20

= 6(25) - 20

= 150 - 20

= 130°

x + 25

= 25 + 25

= 50°