Question

in the diagram, which two angles are adjacent?
options:
$\angle deq$ and $\angle tig$
$\angle fjg$ and $\angle njf$
$\angle mkt$ and $\angle njt$
$\angle bmd$ and $\angle kms$

17 multiple choice 2 points
tonya created the following design for her geometry project.
what kind of angles are $\angle acd$ and $\angle bce$?
options:
supplementary angles
complementary angles
vertical angles
interior angles

Explanation:

First Question (Angle Adjacency)

Step1: Define adjacent angles

Adjacent angles share a common side/vertex, no overlap.

Step2: Analyze each option

• $\angle DEQ$ and $\angle TIG$: No shared vertex/side.
• $\angle FJG$ and $\angle NJF$: Overlap, not adjacent.
• $\angle MKT$ and $\angle NJT$: Share vertex line, no overlap.
• $\angle BMD$ and $\angle KMS$: No shared vertex/side.

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Second Question (Angle Type)

Vertical angles are formed when two lines intersect, creating opposite, congruent angles. $\angle ACD$ and $\angle BCE$ are opposite each other at the intersection point $C$ of lines $AE$ and $BD$, so they are vertical angles.

Answer:

$\angle MKT$ and $\angle NJT$