< 3 and < 4 are vertical angles m< 3=14x-7 and m< 4=10x +17. find m< 3

Vertical angles are equal to each other based on the vertical angles theorem.

Since they are equal to each other, make them equal to each other in an equation.

Your equation should look like this: m∠3 = m∠4

Plug in the expressions for m∠3 and m∠4 in the equation. Now your equation should look like this:

(14x - 7) = (10x + 17)

Subtract 10x from both sides.

4x - 7 = 17

Add 7 to both sides.

4x = 24

Divide both sides by 4.

x = 6

Plug in 6 for x into m∠3.

14(6) - 7 = 84 - 7

84 - 7 = 77

m∠3 = 77°

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

5+2x=a

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