Answer:
Θ = 124°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n - 5, thus
sum = 180° × 3 = 540°
Sum the given interior angles and equate to 540
2x - 3 + 2x + 7 +3x - 4 + 3x - 4 + 3x - 2 = 540, that is
13x - 6 = 540 ( add 6 to both sides )
13x = 546 ( divide both sides by 13 )
x = 42
Thus
Θ = 3x - 2 = 3(42) - 2 = 126 - 2 = 124°
