Ms. G decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half gallon of water to make each pitcher of juice. One of Ms. G students said she will mix 8 scoops with 2 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct? Make a table to explain your 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