What is the format of this proof? given: ∠abc is a right angle, ∠dbc is a straight angle prove: ∠abd is a right angle

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.

step-by-step explanation:

the shape,the size and the distance