code: public static boolean isCompatibleWithThrowsClause(Throwable ex, Class<?>... declaredExceptions) {
          if (!isCheckedException(ex)) {
              return true;
          }
          if (declaredExceptions != null) {
              for (Class<?> declaredException : declaredExceptions) {
                  if (declaredException.isInstance(ex)) {
                      return true;
                  }
              }
          }
          return false;
      }
docs: Check whether the given exception is compatible with the specified
  exception types, as declared in a throws clause.
  
  @param ex                 the exception to check
  @param declaredExceptions the exception types declared in the throws clause
  @return whether the given exception is compatible