Question

The angles of a triangle are 80??, 2x + 2??, and 5x??. What is the value of x? Enter your answer in the box. x =

Answer 1

The triangle angle-sum theorem says that all those angles added together equal 180.  Therefore, 80 = 2x + 2 + 5x = 180.  7x + 82 = 180 and 7x = 98.  That means that x = 14.