Question

given <1 and <2 are complementary <1congreuent <3, <2 congruent<4 prove <3 and <4 are complementary

Answer 1

Complementary angles mean sum of both the angles is 90 degrees
<1 + <2 = 90 degrees ....................(1)

<1 = <3 ( congruent angles mean equal angle)
<2 = <4
We can substitute these values in equation (1) to get
<3 + <4 =90 degrees
Hence, <3 and <4 are also complementary.