High School

(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

Answer :

we know that

m∠1+m∠2=[tex]180\°[/tex] -------> by supplementary angles

we have

m∠1=[tex]61.8\°[/tex]

substitute

m∠2=[tex]180\°-61.8\°=118.2\°[/tex]

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

so

m∠6=[tex]118.2\°[/tex]

therefore

the answer is the option D

[tex]118.2\°[/tex]
m<8 = m<1 = 61.8°

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

answer: D.118.2

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