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=

Respuesta :

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: