Question

Complete the paragraph proof.

GIVEN: <a and <b are complementary and <b and <c are complementary

PROVE: <A is congruent to <C

By definition if complementary angles, m<a+____=_____ and m<b + m<c =_______. Then m<a + ____ =m<b + m<c by the _______. subtract m<b from each side. you get ______=m<c or _______ is congruent to <c

Answer 1

[AI-generated answer — Bot GPT 3.5]

By definition of complementary angles, m<a+m<b=90 and m<b+m<c=90. Then, m<a+m<b=90 is equal to m<b+m<c=90 by the Transitive Property of Equality. Subtracting m<b from each side, we get m<a=90-m<c or <A is congruent to <C.