The value of x is 10
Step-by-step explanation:
We know that the sum of internal angles of a quadrilateral is 360 degrees
So,
Given
Angle 1 = A1 = 3x+10
Angle 2 = A2 = 9x+50
Angle 3 = A3 = 4x
Angle 4 = A4 = 13x+10
So,
[tex]A_1+A_2+A_3+A_4 = 360\\(3x+10)+(9x+50)+(4x)+(13x+10) = 360\\3x+10+9x+50+4x+13x+10 = 360\\3x+9x+4x+13x+10+50+10 = 360\\29x+70 = 360[/tex]
Subtracting 70 from both sides
[tex]29x+70-70 = 360-70\\29x = 290[/tex]
Dividing both sides by 29
[tex]\frac{29x}{29} = \frac{290}{29}\\x = 10[/tex]
Hence,
The value of x is 10
Keywords: Angles, Quadrilateral
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