Hard
If the figure shows a regular pentagon and an equilateral triangle then angle x is:
Explanation
Explanation
Each interior angle of a regular pentagon is 108 degrees, and each angle of an equilateral triangle is 60 degrees. Using the geometric relationships in the figure (angles around the shared vertex), angle x works out to 48 degrees.
PRO TIP
Re-check your working by substituting the answer back into the original question.