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2. Complete this proof using the two column proof method

Given: ABC is | ; <1 and <3 are complementary

Prove. <2 ≈ <3

(Hint: 7 statements with reasons will complete this proof)

Statements:

Reasons:


Please Help 2 Complete This Proof Using The Two Column Proof Method Given ABC Is Lt1 And Lt3 Are Complementary Prove Lt2 Lt3 Hint 7 Statements With Reasons Will class=

Sagot :

Danielgeyfmanidn

Answer:

See proof

Step-by-step explanation:

We have that [tex]\angle 1 + \angle 2 = 90^{\circ}[/tex] because [tex]\angle ABC[/tex] is [tex]\perp[/tex].

We have that [tex]\angle 1 + \angle 3 = 90^{\circ}[/tex] because [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are complementary.

We have that [tex]\angle 1 + \angle 2 = \angle 1 + \angle 3[/tex] because we can set the two equations equal to each other.

We have that [tex]\boxed{\angle 2 = \angle 3}[/tex] because we subtract [tex]\angle 1[/tex] from both sides.

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