Final answer:
Above the stratosphere is the mesosphere, where temperatures decrease with an increase in altitude. It lies between the stratosphere and the thermosphere.
Step-by-step explanation:
The atmosphere of Earth can be divided into several layers which include the troposphere, stratosphere, mesosphere, thermosphere, and exosphere.
The troposphere is the lowest layer and extends from Earth's surface up to about 11-13 km (7-8 miles) where temperature decreases with altitude. Above this is the stratosphere, extending up to about 50 kilometers above Earth's surface.
In the stratosphere, the temperature initially increases with altitude due to the absorption of UV radiation by ozone. The coldest part of the atmosphere called the tropopause marks the transition between these two layers.
Then comes the mesosphere, starting above the stratosphere and extending up to 80 kilometers above the surface. It is in this layer that the temperature once again starts to decrease with altitude, making it the answer to your question.