saraavasek
contestada

Please help! Need answer ASAP!

Two lines intersect at a point, forming ​ ∠1 , ∠2 , ∠3 , and​ ​ ∠4 ​ .

∠1 and ∠2 are supplementary angles.

∠2 and​ ​ ∠4 are vertical angles.

m∠1=120°

What is the measure of ​​ ∠4 ​?


30°

60°

90°

120°
Will give the branliest if correct!

Respuesta :

carlosego
 We start with the following fact:
 ∠1 and ∠2 are supplementary angles
 Therefore, the following equation is valid:
 m∠1 + m∠2 = 180
 We clear the angle 2:
 m∠2 = 180-m∠1
 Substituting values:
 m∠2 = 180-120
 m∠2 = 60
 Then, we have:
 ∠2 and ∠4 are vertical angles
 Vertical angles are a pair of angles (not adjacent) opposed to each other when two lines intersect
 Thus:
 m∠2 = m∠4 = 60
 Answer:
 the measure of ∠4 is 60 °
ananyababa
just commenting so you can mark his as branniest, considering they got the right answer first! <3