Given,
angle BAD = 2x
angle ADC = 79°
angle BCD = 32°
angle ABC = 5x
To Find,
The value of x.
Solution,
complex angle ABC = 360° - 5x
We know that the sum of all the angles of a quadrilateral is 360°.
By summing up all the given angles of the quadrilateral, we obtain
2x + 360° - 5x + 32° + 79° = 360°
or, -3x + 471° = 360°
or, -3x = 360° - 471°
or, -3x = -111°
or, x = -111°/-3
or, x = 37°
Answer,
The value of x is 37° .