32.5k views
0 votes
Find x so that a is parallel to b state the converse used ? A is 74 degrees and B is (9x+11)

User Doria
by
8.3k points

1 Answer

3 votes

Final answer:

To make lines a and b parallel, set the corresponding angle (9x + 11) degrees equal to 74 degrees and solve for x. Simplify the equation to find that x = 7.

Step-by-step explanation:

To find x so that line a is parallel to line b, we use the concept of corresponding angles. Since line a has an angle of 74 degrees, line b, being parallel, must have a corresponding angle that is equal to this. The angle for b is given as (9x + 11) degrees. We set this equal to 74 degrees and solve for x:


9x + 11 = 74


Now we subtract 11 from both sides to isolate the term with x:


9x = 74 - 11


9x = 63


Finally, we divide by 9 to find x:


x = 63 / 9


x = 7


The converse used in this situation is that if the corresponding angles are equal, then the lines are parallel.

User Kathrin
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories