Wember Company acquired a subsidiary company on December $31,2015,$ and recorded the cost of the intangible assets it acquired as follows:

Patent $$100,000$

Trade name $80,000$

Goodwill $150,000$

The patent is being amortized by the straight$-$line method over an expected life of $10$ years with no residual value. Amortization has been recorded for the current year. The trade name was considered to have an indefinite life.

Because of the success of the subsidiary in the past, Wember has not previously considered any of the intangible assets to be impaired. However, in $2019,$ because of a current recession and technological changes in the subsidiary$$s industry, Wember decides to review all of its intangible assets for impairment and record any adjustments at December $31,2019.$

Wember estimates that the fair value of the patent is $$42,000.$ The company estimates the fair value of the trade name to be $$90,000$ but decides that it now has a limited life of $5$ years. The subsidiary company, which qualifies as a reporting unit, has a book value of $$700,000,$ including the goodwill of $$150,000.$ Wember estimates that the fair value of the subsidiary company is $$650,000,$ of which it allocates $80\%$ to the identifiable assets and liabilities.

Required:

$1.$ Prepare journal entries for Wember to record the impairment of its intangible assets at December $31,2019.$

$2.$ Prepare journal entries for Wember to record the amortization expense for its intangibles at December $31,2020.$