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

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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