a = 19
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Use the exterior angle theorem, which states:
- When a triangle's side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle.
Using the above property set up an equation:
Simplify and solve for a:
- a + 50 = 2a + 31
- 2a - a = 50 - 31
- a = 19