Question

in figure 5,AB parallels to CD and PQ is the transversal. if angle 1:angle 2=3:2,find the measure of all the angles from 1 to 8​

Answer 1

Step-by-step explanation:

Let ∠1= 3x

and ∠2 = 2x

now

∠1 +∠2 = 180°

3x+2x = 180

5x = 180°

x= 180/5

x= 36

now ∠ 1 = 3x = 3×36=108°

and ∠ 2 = 2x= 2×36=72°

Now ∠1 = ∠3=108° ( Vertically opposite angle )

∠2. = ∠ 4 = 72. ( vert. opp. angle)

∠4 =∠ 6 =72° (Alternate interior angle)

∠3 =∠5 =108° ( Alt. int. angle)

∠6= ∠8=72° ( vertically opposite angle)

∠5 = ∠7= 108° ( Vertically opposite angle)

Answer 2

Answer:

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