What is the value of x?
Two intersecting lines are shown with two labeled obtuse opposite angles. One angle is labeled left-parenthesis 2 x plus 24 right-parenthesis degree-sign. The other angle is labeled left-parenthesis 142 degree-sign.
Drawing is not to scale.
The value of x can be found by setting the two labeled obtuse opposite angles equal to each other and solving for x.
Given:
Angle 1: (2x + 24) degrees
Angle 2: 142 degrees
Setting the angles equal to each other:
2x + 24 = 142
Subtracting 24 from both sides:
2x = 118
Dividing both sides by 2:
x = 59
Therefore, the value of x is 59.