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 ​?


a.30°

b.60°

c.90°

d.120°
please help i will mark brainliest

Respuesta :

The answer is:  [B]:  " 60° " .
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Because at whatever location,  ∠2 and ∠4 are vertical angles;

and all vertical angles have equal measurements.

Given:   m∠1  is 120°, and ∠1 is supplementary to ∠2 ;

then m∠1 + m∠2 = 180° .

So, m∠2 = (180 - 120)° = 60° .

As aforementioned:

m∠4 = m∠2 = 60° ;  which is:  Answer choice:  [B]:  " 60° " .
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msmar2

Answer:

" 60° " .

Step-by-step explanation: