Answer:
m<1 = 54
m<3 = 54
m<4 = 126
Step-by-step explanation:
<1: <2 and <1 are supplementary angles.
<3: <2 and <3 are supplementary angles. <1 and <3 are vertical angles.
<4: <2 and <4 are vertical angles.
Supplementary angles equal to 180 degrees.
Vertical angles are equivalent.
Let's solve for <1.
<2 + <1 = 180 --> Due to supplementary angles
126 + <1 = 180 --> Substitution
126 + <1 - 126 = 180 - 126 --> Subtracted 126 on both sides
<1 = 54 --> Simplified
Let's solve for <3.
<3 = <1 --> Due to vertical angles
<3 = 54 --> Substitution
Let's solve for <4.
<4 = <2 --> Due to vertical angles
<4 = 126 --> Substitution
Therefore, m<1 = 54, m<3 = 54, and m<4 = 126
Hope this helped! <3
