Question

Mhanifa can you please help? This is due asap!

Answer 1

(2)

RSTV is a quadrilateral

Interior angles of a quadrilateral sum to 180

Sum of given angles:

• 2n + 6n + 2n + 5n = 180°
• 15n = 180°
• n = 12°

The angles are:

• 2*12°= 24°, 6*12° = 72°, 2*12° = 24°, 5*12° = 60°

(3)

Sum of angles of a regular 18-gon:

• S = 180°(18 - 2) = 2880°

Each interior angle is:

• 2880°/18 = 160°

(4)

Sum of interior angles of a convex heptagon (7-sided polygon):

• S = 180°(7 - 2) = 900°

(5)

Sum of exterior angles of any polygon is 360°

Each exterior angle of a regular nonagon (9-sided polygon) is:

• 360°/9 = 40°