if in the figure a//b and c//d,then name the angles that are congruent
to 1.angle 1 2.angle 2​

1 thought on “if in the figure a//b and c//d,then name the angles that are congruent<br />to 1.angle 1 2.angle 2​”

1. Answer:

   Correct option is

   A

   ∠3,∠5,∠7,∠9,∠11,∠13,∠15

   Given that a∣∣b and c∣∣d

   ∠1=∠3 …(i) (vertically opposite angles)

   ∠1=∠5 …(ii) (a∣∣b, so, corresponding angles)

   ∠5=∠7 …(iii) (vertically opposite angles)

   From (ii) and (iii)

   ∠1=∠7 …(iv)

   ∠1=∠9 …(v) (c∣∣d,so,corresponding angles)

   ∠9=∠13 …(vi) (a∣∣b,so,corresponding angles)

   From (v) and (vi)

   ∠1=∠13 …(vii)

   ∠9=∠11 …(viii) (vertically opposite angles)

   From (v) and (viii)

   ∠1=∠11 …(ix)

   ∠13=∠15 …(x) (vertically opposite angles)

   From (vii) and (x)

   ∠1=∠15 …(xi)

   From (i),(ii),(iv),(v),(vii),(ix),(xi)

   ∠1=∠3=∠5=∠7=∠9=∠11=∠13=∠15

   Step-by-step explanation:

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