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3 years ago

5. Find the mZABC if ZABD = 35°, ZDBC = 55º.

Mathematics

1 answer:

Reika [66]3 years ago

5 0

Answer:

$m\angle ABC=90^o$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

$m\angle ABC=m\angle ABD+m\angle DBC$ ----> by angle addition postulate

substitute the given values

$m\angle ABC=35^o+55^o=90^o$

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Supplementary angles definition: They add up to 180°

There are several ways to prove a parallelogram:

1. Opposite sides theorem converse

2. Opposite angles theorem converse

3. Parallelogram diagonals theorem converse

4. Parallel congruent sides theorem

∠P + ∠Q = 180° --1

∠P + ∠S = 180° --2

1: ∠P = 180° - ∠Q

Sub 1 into 2:

180° - ∠Q + ∠S = 180°

180° + ∠S = 180° + ∠Q

∠S = ∠Q

Or you can try saying the opposite sides are parallel, since they are interior angles and those are straight lines

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