Question

Use an equation to find the value of each indicated variable.

Answer 1

y = 36°

z = 54°

Explanation:

3y + 2y = 180

(Angles on a straight line)

5y = 180

y = 36°

y + z + 90 = 180

(Angles on a straight line)

36 + z = 90

z = 54°

6y + z = 270

Answer 2

y =36

z= 54

Explanation:

The angles 3y and 2y form a straight line, so they add to 180 degrees.

3y+2y =180

5y = 180

Divide each side by 5

5y/5= 180/5

y =36

The angles z, y, from a 90 degree angle

z+y =90

z+36 = 90

Subtract 36 from each side

z+36-36 = 90-36

z = 54