Question

Activity 6
The inner angle of a regular polygon is 144º.
a) What is the measure of outer angle at a vertex?
b) What is the sum of measures of outer angles ?
c) How many sides does it have ?
The inner angle of the polygon is 144º.
At a vertex


Measure of inner angle + Measure of outer angle = ____
Measure of outer angle = _____-144
Sum of measures of outer angles=____
Number of sides=____
=____​

Answer 1

Answer:

a) 36°

b) 360°

c) 10

Measure of inner angle + Measure of outer angle = 180°

Measure of outer angle = 180 - 144 (ans: 36)

Sum of measures of outer angles = 360°

Number of sides = 360÷36 = 10

Step-by-step explanation:

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Answer 2

Answer:

a) 36°

b) 360°

c) 10sides

d) 180°

e) 180-144=36°

f) 360÷36=10

Step-by-step explanation:

a) 180-144=36°

b) sum of outer angles of all polygons is 360