Question

$m\parallel n$ and $p$ and $q$ are transversal. If $\angle 1={123}^o$ find $\angle 2,\angle 3$. Also if $\angle 4={85}^o$, find $\angle 5$ and $\angle 7$.

Answer 1

$\angle 1=\angle 2$

so $\angle 2=123$

so $\angle 3=180-\angle 2=180-123=57$

adjacent angle to angle 4 is $180-85=95$

angle 5 and adjacent angle of $\angle 4$ are equal

so $\angle 4=95$

angle 5 and angle 7 are vertically opposite angles so $\angle 7=95$