Question

Help plz if someone could answer this problems soon as possible that would be great. It is a geometrical proof Given: angle 1 and angle 2 are complementary angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4 prove: angle 2 and 3 are complementary

Answer 1

Answer:

<2 + <3 = $90^{o}$

Thus, angles 2 and 3 are complementary.

Step-by-step explanation:

Complementary angles are two or more angles that their sum equals $90^{o}$. Given that: i.  <1 and <2 are complementary

                  ii. <1 ≅ <3

                  iii. <2 ≅ <4

Prove that: <2 and <3 are complementary

Proof:

<1 + <2 = $90^{o}$ (complementary angles)

<1 ≅ <3 (congruent property)

<2 ≅ <4 (congruent property)

⇒ <3 + <4 = $90^{o}$ (complementary angles by congruent property)

Since <1 ≅ <3,

∴ <2 + <3 = $90^{o}$

Thus, angles 2 and 3 are complementary