Question

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Answer 1

1 is 54 degrees

3 is also 54 degrees

4 is 126 degrees

Explanation:

If you would like an explanation then ask me in the comments and I will type one. :)

Answer 2

m<1 = 54

m<3 = 54

m<4 = 126

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