The railroad tracks meet the road as shown. The town will allow a parking lot at angle K if the measure of angle K is greater than 38 degrees. Can a parking lot be built at angle K? Why or why not?
![The railroad tracks meet the road as shown The town will allow a parking lot at angle K if the measure of angle K is greater than 38 degrees Can a parking lot b class=](https://us-static.z-dn.net/files/d1e/36514314f7cdce7f3b20b991b202d842.png)
Answer:
Yes, a parking lot can be built at the angle K
Step-by-step explanation:
step 1
Find the measure of angle K
we know that
[tex]m<K=m<Green[/tex] ------> by vertical angles
so
[tex]50\°+m<K=90\°[/tex] -----> by complementary angles
solve for m<K
[tex]m<K=90\°-50\°=40\°[/tex]
[tex]m<K > 38\°[/tex]
therefore
Yes, a parking lot can be built at the angle K
Answer:
Yes, a parking lot can be built because the measure of angle J is 180 - (50 + 90) = 40. 40 degrees is greater than 38 degrees.
Step-by-step explanation: