Answer:
x = 100° , y = 75° , z = 135°
Explanation:
x and 80° are a linear pair and sum to 180° , that is
x + 80° = 180° ( subtract 80° from both sides )
x = 100°
y and 105° are a linear pair and sum to 180° , then
y + 105° = 180° ( subtract 105° from both sides )
y = 75°
the sum of the interior angles of a polygon is
sum = 180° ( n - 2 ) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540°
z + x + 90° + 110° + 105° = 540°
z + 100° + 90° + 110° + 105° = 540°
z + 405° = 540° ( subtract 405° from both sides )
z = 135°