Question

In the given figure, m || n and angles 1 and 2 are in the ratio 3:2. Determine all the angles from 1 to 8.

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.