Unless you started exercising, these two statements are incompatible with one another (violates the first law of thermodynamics). What's more likely is you felt "fuller" from eating healthy foods and therefore consumed less calories.
Another possibility is that the food eaten affects the metabolic rate. I've known multiple people who stopped having cold extremities when they cut back on their sugar intake.
Less than ten percent of your daily energy expenditure goes towards thermogenesis. That's not going to make enough of a different to lose 30 pounds in 90 days while taking in more calories.
You need a calorie deficit of approximately half a standard daily intake to lose a third of a pound a day.
Not the full thirty pounds, but it could definitely be a contributing factor. And, if one's extremities get warmer while one's core temperature remains the same, the same amount of clothing is worn, and the ambient temperature remains the same, it's pretty much a certainty that more calories are being spent on heating the body.
You're talking about an extra 50 calories a day. It's going to be negligible against the 1100-1200 calorie deficit needed for that kind of weight loss. A half tablespoon of peanut butter.
Over the course of 90 days, you'd lose a grand total of a pound of fat or so.
