Question

In the figure, if l ∥ m and l ∥ n and x: y = 3: 2, then z =?

a) 1200
b) 1260
c) 1080
d) 1540

Answer 1

Answer:

x+y=180

x+y=5

x=(180/5)×3=108

y=(180/5)×2=72

z=x=108

2x+3y=k

put x=2 and y=0 in the above equation

2×(2)+3×(0)=k

4=k

k=4 Ans

Answer 2

Answer:

option c) 108° will be the correct answer.

Step-by-step explanation:

let x and y be 3x and 2x respectively.

3x + 2x = 180° (sum of interior angles)

5x = 180°

x = 180/5

x = 36

placing the value of x :

3 × 36 = 108

2 × 36 = 72

x = z (Alternate interior angles)

108 = 108

I hope u got answer