Rihanna is definitely a makeup icon. Here are some of Rihanna's looks you should try.

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Brown smokey eyes and dark lipstick.
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Brown smokey eyes and nude lips.
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Soft colors in the eyes and pink nude lipstick.
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Lipgloss.
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Bright eyeliner and a matching mascara (it can be blue/purple).
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Smokey eyes, lots of eyeliner and a dark lipstick.
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Brown or fuscia matte lipstick.
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Brown/Champagne colors in the eyes and red matte lipstick.