menace vs play into one’s hands

menace

verb
  • To endanger (someone or something); to imperil or jeopardize. 

  • To threaten (an evil to be inflicted). 

  • To make threats against (someone); to intimidate. 

noun
  • An annoying and bothersome person or thing. 

  • The act of threatening. 

  • A perceived threat or danger. 

play into one’s hands

How often have the words menace and play into one’s hands occurred in a corpus of books? (source: Google Ngram Viewer )