Find the measure of the number Angles N
LO
P R
L
Answer choices
A 45 : 180
B 90; 40
C 40; 90
D 180; 40

7. x = 6

8. x = 9

9. x = 5

10. x = 10

Step-by-step explanation:

7; from parallel lines and proportionality, we can say that;

(2x - 2)/20 = 6/12

Cross multiply to get;

2x - 2 = 20 × 6/12

2x - 2 = 10

2x = 10 + 2

2x = 12

x = 12/2

x = 6

8) on the left hand side, the total length there is 8. Thus, length of missing side is 8 - 3 = 5.

Thus,by proportion;

5/3 = 10/(x - 3)

Cross multiply to get;

5(x - 3) = 3 × 10

5x - 15 = 30

5x = 30 + 15

5x = 45

x = 45/5

x = 9

9) Similarly;

14/7x = 8/20

Cross multiply to get;

20 × 14 = 8 × 7x

280 = 56x

x = 280/56

x = 5

10) similarly;

14/(2x + 8) = 8/16

Cross multiply to get;

14 × 16 = 8(2x + 8)

Divide both sides by 8 to get;

14 × 16/8 = 2x + 8

2x + 8 = 28

2x = 28 - 8

2x = 20

x = 20/2

x = 10