Question

<1 and <2 are vertical angles. If m<1 = (5x+12) and m<2 = (23x + 17) find m<2

Answer 1

m∠2 = 10 11/18°

Explanation:

Vertical angles are equal to one another.

`5x+12=23x+17\\\\12=18x+17\\\\-5=18x\\\\-(5)/(18)=x`

Now substitute the value for the variable to find m∠2.

`23(-(5)/(18))+17\\\\-(115)/(18)+17\\\\(191)/(18)=10(11)/(18)`