Question

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?

Answer 1

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.

Explanation:

Answer 2

Yes, a parking lot can be built at the angle K

Explanation:

step 1

Find the measure of angle K

we know that

`m<K=m<Green` ------> by vertical angles

so

`50\°+m<K=90\°` -----> by complementary angles

solve for m<K

`m<K=90\°-50\°=40\°`

`m<K > 38\°`

therefore

Yes, a parking lot can be built at the angle K