Related Angles
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1Related Angles
Jefferson Davis Learning Center
Sandra Peterson
If the given angle, θ ,
Then the related angle,
Graphical Representation of
θ , is found by…
θ is found
is in…
how
r
r
Quadrant I
°
<
θ
<
°
θ =
θ
(
0
90
)
r
Quadrant II
θ
°
<
<
°
θ
θ
= 180
°
−
(
90
180
)
r
Quadrant III
θ
°
<
<
°
θ
=
θ
−
°
(
180
270
)
180
r
Quadrant IV
°
<
θ
<
°
θ
= 360
°
−
θ
(
270
360
)
r
θ , for each of the following given angles.
Find the related angle,
r
θ
= 30
°
θ
= 225
°
θ
= 135
°
θ
= 315
°
θ
= 60
°
θ
= 120
°
1.
2.
3.
4.
5.
6.
θ
θ
θ
θ
θ
θ
= 150
°
= 210
°
= 300
°
= 240
°
= 45
°
= 330
°
7.
8.
9.
10.
11.
12.
θ
θ
θ
θ
θ
θ
= 142
°
= 85
°
= 202
°
= 341
°
= 312
°
= 195
°
13.
14.
15.
16.
17.
18.
θ
θ
θ
θ
θ
θ
= 228
°
= 15
°
= 117
°
= 298
°
= 167
°
= 32
°
19.
20.
21.
22.
23.
24.
θ
θ
θ
θ
θ
θ
= 1575
°
= 1050
°
= 1470
°
= 495
°
= 300
−
°
= 45
−
°
25.
26.
27.
28.
29.
30.
θ
θ
θ
θ
θ
θ
= 225
−
°
= 135
−
°
= 960
−
°
= 840
−
°
= 750
−
°
= 585
−
°
31.
32.
33.
34.
35.
36.
Answers:
θ
θ
θ
θ
θ
θ
= 30
°
= 45
°
= 45
°
= 45
°
= 60
°
= 60
°
1.
2.
3.
4.
5.
6.
r
r
r
r
r
r
θ
= 30
°
θ
= 30
°
θ
= 60
°
θ
= 60
°
θ
= 45
°
θ
= 30
°
7.
8.
9.
10.
11.
12.
r
r
r
r
r
r
θ
= 38
°
θ
= 85
°
θ
= 22
°
θ
= 19
°
θ
= 48
°
θ
= 15
°
13.
14.
15.
16.
17.
18.
r
r
r
r
r
r
θ
θ
θ
θ
θ
θ
= 48
°
= 15
°
= 63
°
= 62
°
= 13
°
= 32
°
19.
20.
21.
22.
23.
24.
r
r
r
r
r
r
θ
= 45
°
θ
= 30
°
θ
= 60
°
θ
= 45
°
θ
= 30
°
θ
= 45
°
25.
26.
27.
28.
29.
30.
r
r
r
r
r
r
θ
θ
θ
θ
θ
θ
= 45
°
= 45
°
= 60
°
= 60
°
= 30
°
= 45
°
31.
32.
33.
34.
35.
36.
r
r
r
r
r
r
Please visit the Math Center for further assistance.
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