Question

Given:
AC – AR
<1 = <2
Prove:
<3 =<4

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Answer 1

ΔCTA ≅ ΔDRA

Explanation:

Triangles CTA and DRA are congruent by ASA postulate. This is because:

• ∠1 ≅ ∠2 (given)

• AC ≅ AR (given)

• ∠A is the same for both triangles (they are opposite angles)

Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4