Since the two lines form an "X" shape, the opposite angles are congruent. Therefore, we have:
3x - 8 = 2x + 1
Solving for x, we get:
x = 9
Substituting back into the given expressions, we get:
3x - 8 = 3(9) - 8 = 19 degrees
2x + 1 = 2(9) + 1 = 19 degrees
Therefore, the measures of the marked angles are both 19 degrees (option A).
What are the measures of the marked angles?
The figure shows a horizontal line cut by another line. The angle formed above the horizontal line and to the left of the intersection point is labeled as 3 x minus 8 degrees. The angle formed below the horizontal line and to the right of the intersection point is labeled as 2 x plus 1 degree.
A.
19
°
B.
27
°
C.
38
°
D.
90
°
1 answer