How to Show Next, Previous, and Page Numbers with wp_link_pages

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You are using the wrong function, please check this link
https://codex.wordpress.org/Function_Reference/paginate_links

As you can see your code should be

global $wp_query;

$big = 999999999; // need an unlikely integer

echo paginate_links( array(
  'base' => str_replace( $big, '%#%', esc_url( get_pagenum_link( $big ) ) ),
  'format' => '?paged=%#%',
  'current' => max( 1, get_query_var('paged') ),
  'total' => $wp_query->max_num_pages,
  'next_text' => '<i class="fa fa-angle-right"></i>',
  'prev_text' => '<i class="fa fa-angle-left"></i>'
) );

if you are using a custom query with WP_Query()
your code should be similar to:

$query_post = new WP_Query(array(
...
'paged' => get_query_var('paged'),
...
));


$big = 999999999; // need an unlikely integer

echo paginate_links( array(
  'base' => str_replace( $big, '%#%', esc_url( get_pagenum_link( $big ) ) ),
  'format' => '?paged=%#%',
  'current' => max( 1, get_query_var('paged') ),
  'total' => $query_post->max_num_pages,
  'next_text' => '<i class="fa fa-angle-right"></i>',
  'prev_text' => '<i class="fa fa-angle-left"></i>'
) );