Question

∠1 and ∠2 are vetical angles. If m∠1 =(5x+12)° and m∠2 =(6x−11)°. m∠1=

Answer 1

⇒Vertical angles are equal .

This means that ∠1=∠2

⇒The trick is to first find the value of the unknown variable x then substitute it in the expression of ∠1 to get the exact magnitude of the angle.

`5x+12=6x-11\\5x-6x=-11-12\\-x=-23\\(-x)/(-1) =(-23)/(-1) \\x=23`

x=23°

To get the exact value of ∠1 Plug in 23° in the place of x in the expression of ∠1:

`< 1=5x+12\\=5(23)+12\\=127`

∠1=127°