Additional Links
Adjacent Angles Angle Vertex
Adjacent Angles
Definition of Adjacent
Angles
The
word “adjacent” means “next” or “neighboring”.
Adjacent angles are
angles just next to each other. Adjacent angles share a common vertex
and a common side,
but do not
overlap.
Examples of Adjacent
Angles
In
the figure shown, a and
b
are adjacent angles.
They have a common vertex O and a common side
OA.
More about Adjacent
Angles
- If two adjacent angles
form a right angle (90°), then they are
complementary.
- If two adjacent angles
form a straight angle (180°), then they are
supplementary.
Solved Example on
Adjacent Angles
Example
1
Name all
pairs of
angles in the diagram that are adjacent.
Solution:
Adjacent angles are angles just next to each other. Adjacent
angles
share
a common vertex and a common side,
but do not overlap.
Ða and Ðb,
Ðb and Ðc,
Ðc and Ðd,
Ðd and Ðe,
Ðe and Ða are the pairs of adjacent angels in the
diagram shown above.
Example
2
ÐBAC and
ÐCAD are
adjacent
angles.
Find mÐCAD,
if
mÐBAC =
32° and
mÐDAB =
58°.
Solution:
Step
1:
Let’s first draw the figure.
Step 2:
ÐBAC and
ÐCAD are adjacent
angles.
mÐDAB = mÐBAC + mÐCAD
Þ
mÐCAD = mÐDAB – mÐBAC
Step 3:
=
58° – 32° =
26°
Step 4:
So,
mÐCAD = 26°.
Related Terms for
Adjacent Angles
Vertex
Side
Angle
Additional Links for
Adjacent Angles