Question

PLZ HELP!! I dont understand this problem! Find the value of x in each case.

Answer 1

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° .