Question

Part 1: Which equation should be used to determine the value of y?

(1 point)
Responses

5y+10=85
5 y plus 10 is equal to 85

(5y+10)+85=90
open paren 5 y plus 10 close paren plus 85 is equal to 90

(5y+10)−85=180
open paren 5 y plus 10 close paren minus 85 is equal to 180

(5y+10)+85=180
open paren 5 y plus 10 close paren plus 85 is equal to 180
Question 2
Part 2: Using the equation you chose, determine the value of y and measure of the angles.(2 points)
y=


5y+10=

degrees

Answer 1

To determine the value of \( y \) and the measure of the angles, we first need to identify the appropriate equation to use from the options given.

### Part 1:
The first equation, **\( 5y + 10 = 85 \)**, appears to be the most straightforward for solving for \( y \) since it suggests a relationship between \( y \) and the number 85 without additional complications.

### Part 2:
Now, using the equation \( 5y + 10 = 85 \):

1. Subtract 10 from both sides:
\[
5y = 85 - 10
\]
\[
5y = 75
\]

2. Divide both sides by 5:
\[
y = \frac{75}{5}
\]
\[
y = 15
\]

3. Now, substitute \( y \) back into the equation \( 5y + 10 \) to find the measure of the angle:
\[
5(15) + 10 = 75 + 10 = 85 \text{ degrees}
\]

### Final Answers:
- \( y = 15 \)
- \( 5y + 10 = 85 \) degrees.