Parallel lines

[mild ferry]

Find $m\angle 23$

[hollow jewel]

Shafin

[mild ferry]

Find $m\angle 24$

[hollow jewel]

Shafin

[mild ferry]

Find $m\angle 25$

[hollow jewel]

Shafin

[mild ferry]

Find &m\angle 26&

[ebon valve]

I’m confused 😭

[mild ferry]

Ok then

Let’s analyze the figure and the given information

Lines a $\parallel b, c \parallel d, and e \parallel f$
$m\angle 7 = 24^\circ$
$m\angle 20 = 80^\circ$

[hollow jewel]

Shafin

[mild ferry]

Now let's find $m\angle 23$

[hollow jewel]

Shafin

[mild ferry]

Angle 23 is on the transversal crossing lines c and d, and it corresponds to angle 7 (since $c \parallel d$).
Since $m\angle 7 = 24^\circ$, by corresponding angles,

[hollow jewel]

Shafin

[ebon valve]

Wait is it 156 degrees

[mild ferry]

yes angle 24 is indeed 156 degrees

[ebon valve]

🥹🥹thank you

[mild ferry]

$m\angle 24 = 180^\circ - 24^\circ = 156^\circ$

[hollow jewel]

Shafin