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yashu114:
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angle1 =angle3 (given)
angle2 =angle4 (given)
angle1 =angle4 (alternate angles)
angle2 =angle3 (alternate angles)
therefore, by -First Axiom: Things which are equal to the same thing are also equal to one another.
angle 1= angle2
angle3=angle4
angle 1 + angle 2 =angle 3+ angle 4
by-Second Axiom: If equals are added to equals, the whole are equal.
angle1+angle2 = angle A
angle 3+angle4 = angle C
therefore angle A = angle C.
angle2 =angle4 (given)
angle1 =angle4 (alternate angles)
angle2 =angle3 (alternate angles)
therefore, by -First Axiom: Things which are equal to the same thing are also equal to one another.
angle 1= angle2
angle3=angle4
angle 1 + angle 2 =angle 3+ angle 4
by-Second Axiom: If equals are added to equals, the whole are equal.
angle1+angle2 = angle A
angle 3+angle4 = angle C
therefore angle A = angle C.
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