1.( 1)x x 140 90 =(4-2)* 180 x = 65
(2) 120 150 90 2x =(5-2)* 180 x = 60
P84 exercise
(3) 120 80 75( 180 x)=(4-2)* 180 x = 95
(4) Because AB is parallel to CD.
So ∠ b ∠ c = 180.
So ∠ b = 180-60 = 120.
x 150 60 135 120 =(5-2)* 180 x = 75
2.6
3.4
Exercise 7.3
1.
2.( 1)540 -60 =4x x = 120
(2)3x 4x 3x 2x =(4-2)* 180 x =30
3. Sum of internal angles:180 360 540 72010801800.
Sum of external angles: 360 360 360 360 360 360 360 360 360 360 360.
4. Regular pentagon: 108 Regular decagon: 144.
5.9
6.( 1)3
(2)6
7.∠∠A∠B∠C∠D = 360
∠A =∠c∠B =∠D
∫2∠a2∠D = 360
∴∠A ∠D= 1/2*360 = 180
Ab parallel CD
BC parallel AD
8.( 1) Based on BD, the CO is high.
(2)30
(3)D = 60 45 = 105
∠C = 90°
∠=30 *2=60
∞= B = 105
9.∵ Pentagon ABCD are all equal
∴∠e=[(5-2)* 180]/5 = 108
∴∠ 1=∠2=( 180 - 108 )/2=36
∴∠3=∠4=36
∴X= 108-(∠ 1 ∠3)=36
10.AB parallel DE BC parallel EF
∫ The inner angles of hexagonal ABCDEF are all equal.
∴∠b=[(6-2)* 180]/6 = 120
∫∠ Bad =60
∴∠b∠ bud = 180
BC parallel AD
∫∠DAF = 120-60 = 60
∴∠F ∠DAF= 180
Ef parallel advertisement
Bc parallel EF