Question

Two parallel lines are crossed by a transversal. Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom left angle is (5 x + 5) degrees. At the intersection of lines c and a, the bottom right angle is 115 degrees. What is the value of x? x = 12 x = 14 x = 22 x = 24

Answer 1

Answer:

$x=22$

Step-by-step explanation:

According to the Alternate Interior angles theorem, the bottom left angle and the upper right angle have the same measure. Because they were formed from a pair of parallel lines crossed by a transversal one.

So, algebraically:

$5x+5=115\\ 5x+5-5=115-5\\ 5x=110\\ \frac{5x}{5}=\frac{115}{5}\\x=22$

Answer 2

Answer:

22

Step-by-step explanation: