Question

In the figure, lines a, b, and c are parallel and m∠4=156° . Drag and drop the correct angle measure for each angle.

Answer 1

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Answer 2

Answer:

$m$

$m$

$m$

$m$

Step-by-step explanation:

Part 1) If line a is parallel to line b

then

$m$ -----> by alternate exterior angles

so

we have

$m$

therefore

$m$

Part 2) we know that

$m$ -----> by supplementary angles

we have

$m$

substitute

$156\°+m$

$m$

Part 3) If line a is parallel to line b

then

$m$ -----> by alternate interior angles

so

we have

$m$

therefore

$m$

Part 4) If line b is parallel to line c

then

$m$ -----> by corresponding angles

so

we have

$m$

therefore

$m$