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(HELP ME PLS, 10TH GRADE GEOMETRY) Two parallel lines are crossed by a transversal.


If m1 = 61.8°, then m6 is ... ?


A.61.8


B.81.8


C.98.2


D.118.2

(HELP ME PLS, 10TH GRADE GEOMETRY) Two parallel lines are crossed by a transversal. If m1 = 61.8 , then m6 is ... ? A.61.8 B.81.8 C.98.2 D.118.2 class=

Verified Answer :

m<8 = m<1 = 61.8°

m<6 = 180 - m<8
m<6 = 180 - 61.8
m<6 =  118.2

answer: D.118.2

calculista

we know that

m∠1+m∠2=\(180\°\) -------> by supplementary angles

we have

m∠1=\(61.8\°\)

substitute

m∠2=\(180\°-61.8\°=118.2\°\)

m∠6=m∠2 -------> by corresponding angles

so

m∠6=\(118.2\°\)

therefore

the answer is the option D

\(118.2\°\)

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