Question

If mll n and angles 21 and 22 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.

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