Answer:
65°, 70°, 80°, 155°, 170°
Explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 ( pentagon )
sum = 180° × 3 = 540°
Sum the given angles and equate to 540
x + x - 5 + x + 10 + 2x + 15 + 2x + 30 = 540
7x + 50 = 540 ( subtract 50 from both sides )
7x = 490 ( divide both sides by 7 )
x = 70
Hence angles are
x = 70°
x - 5 = 70 - 5 = 65°
x + 10 = 7 0 + 10 = 80°
2x + 15 = (2 × 70) + 15 = 140 + 15 = 155°
2x + 30 = (2 × 70) + 30 = 140 + 30 = 170°