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

Question

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

0

Answers ( No )

    0
    2021-09-04T18:01:52+00:00

    Answer:

    ” 60° ” .

    Step-by-step explanation:

    0
    2021-09-04T18:02:35+00:00

    The answer is:  [B]:  “ 60° ” .
    ________________________________________
    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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