What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle

Mathematics

2 answers:

satela [25.4K]3 years ago

3 0

Answer:

Given : ∠ABC is a right angle, ∠D BC is a straight angle.

To prove :∠AB D is a right angle.

Proof: ∠ ABC = 90°[ Given]

∠ D BC= 180° [ D BC is a straight line]

now, ∠ AB D and ∠ AB C are adjacent angles forming linear pair.

∠ AB D +∠ AB C =180° [By linear pair axiom]

⇒∠ AB D + 90= 180°

⇒∠ AB D=180°-90°

⇒∠ AB D=90°

∠AB D is a right angle

Hence proved.

GuDViN [60]3 years ago

3 0

Answer:

It's a two column proof.

Step-by-step explanation:

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