Page 2 - Ans Sub

2. In the figure, l || m and a transversal t cut them. If ∠1: ∠2 = 2: 3, find the measure
of each of the marked angles.

Solution:
It is given that ∠1: ∠2 = 2: 3
From the figure we know that ∠1 and ∠2 form a linear pair of angles
0
∠1 + ∠2 = 180
0
2x + 3x = 180
0
5x = 180
x = 180 0
5
0
x = 36
By substituting the value of ‘x’ we get
0
0
∠1 = 2x = 2 (36 ) = 72
0
0
∠2 = 3x = 3 (36 ) = 108
From the figure, we know that ∠1 and ∠3 are vertically opposite angles
So, we get
0
∠1 = ∠3 = 72
From the figure we know that ∠2 and ∠4 are vertically opposite angles
So, we get
0
∠2 = ∠4 = 108
It is given that, l || m and t is a transversal
So, the corresponding angles according to the figure is written as
0
∠1 = ∠5 = 72
0
∠2 = ∠6 = 108
0
∠3 = ∠7 = 72
0
∠4 = ∠8 = 108

3. In figure, find the values of x and y and then show that AB || CD.

2