Question

Find the value of x. Hint: The sum of the angle measurements of a quadrilateral is 360 degrees.

Answer 1

x = 26 will be the answer.

Explanation:

The given angles are (4x - 4)° and (3x + 2)°

Since rest two angles of the quadrilateral are equal to these angles respectively.

Therefore, by the property of quadrilateral,

Sum of all angles of a quadrilateral = 360°

2[(4x - 4)+(3x + 2)]= 360°

2[4x + 3x - 4 + 2] = 360°

2(7x - 2) = 360°

7x - 2 =
`(360)/(2)`

7x - 2 = 180

7x = 180 + 2

7x = 182

x =
`(182)/(7)`

x = 26

Therefore, x = 26 will be the answer.