My Gas dryer will no start up, I close the door set the timer and press the button. When the button is press you can hear a click like a solenoid is being activated but the dryer doesn't do anything after that. Cleaned all the vents they were not that dirty with lint, the lint screen is clean. Where do I go from there?

The lint builds up where you cannot see it. Tear it down completely and clean all ducts removing buildup. Find safety and check with ohm meter. Safeties blow when ducts are blocked. DrTom4444