Answer:
the measure of angle
�
1
m
1
is
18
0
∘
−
3
�
+
15
180
∘
−3x+15 degrees
Step-by-step explanation:
Given:
Angle
2
2 is
�
−
30
x−30 degrees.
Angle
1
1 is
2
�
+
15
2x+15 degrees.
We can set up the equation:
(
�
−
30
)
+
(
2
�
+
15
)
+
�
1
=
18
0
∘
(x−30)+(2x+15)+m
1
=180
∘
Now, let's solve for
�
1
m
1
:
3
�
−
15
+
�
1
=
18
0
∘
3x−15+m
1
=180
∘
�
1
=
18
0
∘
−
3
�
+
15
m
1
=180
∘
−3x+15
Therefore, the measure of angle
�
1
m
1
is
18
0
∘
−
3
�
+
15
180
∘
−3x+15 degrees.
