Question

which angles are supplementary to each other?
$\angle12$ and $\angle11$
$\angle10$ and $\angle7$
$\angle8$ and $\angle12$
$\angle11$ and $\angle4$

Explanation:

Step1: Define supplementary angles

Supplementary angles sum to $180^\circ$.

Step2: Analyze each option

• $\angle12$ and $\angle11$: Vertical angles, equal, not supplementary.
• $\angle10$ and $\angle7$: Alternate interior angles, equal, not supplementary.
• $\angle8$ and $\angle12$: They form a same-side interior angle pair between two parallel lines cut by a transversal, so their sum is $180^\circ$.
• $\angle11$ and $\angle4$: Corresponding angles, equal, not supplementary.

Answer:

$\angle8$ and $\angle12$