Question

(8y +45°
Use the triangle shown above to solve for y.
y
N

Answer 1

y = 7

Explanation:

The tiny marks on all three sides show that all three sides of the triangle are the same. This means also that all three angles of the triangle are also equal to each other. The triangle is equilateral as well as equiangular.

Anyway, all the angles are the same so we can write an equation.

8y+4+8y+4+8y+4=180

see end of explanation for solving this equation (or not)

OR since all the angles are the same each one is 60° (bc 60+60+60=180)

So 8y + 4 = 60

this equation is easier to solve.

8y + 4 = 60

subtract 4

8y = 56

divide by 8

y = 7

8y+4+8y+4+8y+4 =180

combine like terms

24y + 12 = 180

subtract 12

24y = 168

divide by 24

y = 7