Question

(a) For the figure below, calculate the missing angle x.

N= 125°
E=97⁰
P=115⁰
T=x
A = 85°

(b) A regular polygon has an exterior angle mecane of (23) ord an interior angle measure of (13x - 33).
Find the measure of each angle.
Interior angle =
Exterior =

Answer 1

(a) 97° + 125° + 85° + 115° + x = 540°

422° + x = 540°

x = 118°

(b) x + 3 + 13x - 33 = 180°

14x - 30 = 180

14x = 210

x = 15

Interior angle: 13(15) - 33 = 162°

Exterior angle: 15 + 3 = 18°