Question

4 SIUL
) 3 sides
70°
6. find the angle measure x in the following figures.
Ce chalk
In the figure, a pentagon ABCDE is shown) Fig 3.8).
We want to know the total measure of angles, ie,
m21 + m2 + m Z3 + m24+ m25. Start at A Walk
along AB. On reaching you need to turn through an
angle of m21, to walk along BC When you reach at
you need to turn through an angle of m2 to walk along
CD. You continue to move in this manner, until you retum
to side AB. You would have in fact made one complete tum.
Therefore, mZ1 + m2 + m23 + m24+ m25 - 360
This is true whatever be the number of sides of the polygon
Therefore, the sum of the measures of the external angles of any pe
120°
(b)
(a)
30°
Example 1: Find measure x in Fig 3.9.
Solution: x + 90° +50° +110° - 360
x + 250° - 360
x 110
(Why?)
X
"
709
TRY TIESE
00
Take a regular hexagon Fig 3.10.
1. What is the sum of the measures of its exterior angles x.
2. Is xy-z-p*q*y? Why?
3. What is the measure of each?
() exterior angle
(11) interior angle
90°
1200
4. Repeat this activity for the cases of
() a regular octagon (1) a regular 20.00
Example 2 Find the number of sides of a regular poly​

Answer 1

Answer:

5 ajsdje a

Explanation:

fieve sides nzndjdk