A pair of parallel lines is cut by a transversal.
A pair of parallel lines is shown cut by a transversal. Angle A is located in the upper left exterior next to the transversal, and angle B is located in the bottom right exterior corner of the transversal.
If m∠A = (6x − 3)° and m∠B = (9x − 24)°, what is the value of x?
1.4
7
7.8
13.8
To find the value of x, we can set the measures of angle A and angle B equal to each other and solve for x.
Given: m∠A = (6x - 3)° and m∠B = (9x - 24)°
Setting the measures equal to each other:
(6x - 3)° = (9x - 24)°
Simplifying the equation:
6x - 3 = 9x - 24
Combining like terms:
3x = 21
Dividing both sides by 3:
x = 7
Therefore, the value of x is 7.