Question

two lines intersect at point P. if the measures of a pair of vertical angles are (2x-7) and (x+13), determine x and the measures of the other two angles

Answer 1

`x=20\\`

147º

Explanation:

If they are vertical angles then they will be equal to each other so I can set the equations equal to each other

`2x-7=x+13`

Add 7 to both sides

`2x=x+20`

Subtract x on both sides

`x=20`

Now we know x so to find the other 2 angles we need to find what these angles equal to by filling in x

`20+13\\33`

Both of these angles are 33 and all 4 verticals angle will equal 360 so we just subtract 33 twice from 360 then divide by 2

`360-33-33`

`327-33\\294`

Now divide by 2

294÷2

147

Hope the helps please let me know if you have any other questions