The angles of a quadrilateral are x°, ( )°x 5+ , ( )°x2 25- and ( )°x 10+ .Find the value of x
Question
The angles of a quadrilateral are x°, ( )°x 5+ , ( )°x2 25- and ( )°x 10+ .Find the value of x
Solution 1
The sum of the angles in a quadrilateral is 360 degrees.
So, we can set up the equation:
x + (5+x) + (25-2x) + (10+x) = 360
Combine like terms:
4x + 40 = 360
Subtract 40 from both sides:
4x = 320
Divide both sides by 4:
x = 80
So, the value of x is 80 degrees.
Solution 2
The sum of the angles in a quadrilateral is 360 degrees.
So, we can set up the equation:
x + (5+x) + (25-2x) + (10+x) = 360
Combine like terms:
4x + 40 = 360
Subtract 40 from both sides:
4x = 320
Divide both sides by 4:
x = 80
So, the value of x is 80 degrees.
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