Question

Help with math homework please

Answer 1

This is an isosceles triangle, that means that two of the sides are the same(it also means that two of the angles are the same). The red tick marks show which sides are the same, so ∠O and ∠M are the same.

A triangle is 180°, so the three angles add up to 180°. This means you can do:

∠O + ∠M + ∠N = 180

(5y - 18) + (5y - 18) + (8y) = 180

5y - 18 + 5y - 18 + 8y = 180      Combine like terms

18y - 36 = 180    Add 36 on both sides

18y = 216      Divide 18 on both sides

y = 12

Now that you know y, you can find ∠O:

∠O = 5y - 18

∠O = 5(12) - 18

∠O = 60 - 18

∠O = 42°

Answer 2

Answer:

42°

Step-by-step explanation:

8y+2(5y-18)=180

8y+10y-36=180

18y-36=180

18y=216

y=12

Plug y back into the equation for angle O

5(12)-18=42