Find the value of y if the measures of the interior angles of a convex decagon are 5yº, 5yº, 8yº, 8yº, 9yº, 9yº, 9yº, 9yº, 9yº, and 9yº.
Find the value of y if the measures of the interior angles of a convex decagon are 5yº, 5yº, 8yº, 8yº, 9yº, 9yº, 9yº, 9yº, 9yº, and 9yº.
I added them up and got 80y.
The sum of the interior angles of a polygon of n sides is given by (n – 2)(180o).
A decagon has 10 sides, so the sum of its interior angles is (8)(180o).
Thus, 80y = 1440o
y = 18o
.