Question

LN and XM bisect each other at O,as shown in fig.Which of the following is true? (a)angle1=angle 2. (b)angle1=angle4. (c)angle2=angle4. (d)angle1=angle3​

Answer 1

Answer:

Let ∠1=3x and ∠2=2x.

Since ∠1+∠2=180

o

or, 5x=180

o

or, x=36

o

.

∴∠1=108

o

and ∠2=72

o

.

Since m∥n and l is the intersector, then

∠3=∠1=108

o

and ∠4=∠2=72

o

[Opposite angles]

and ∠7=∠5=∠2=72

o

.

If ∠5=72

o

then ∠6=108

o

=∠8.