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Two parallel lines are crossed by a transversal. If measure of angle 6 is 123.5 then measure of angle 1 is.....

a. 56.5B) 67.5C) 123.5D) 136.5

User Amit Garg
by
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2 Answers

4 votes

Answer:

a.

Explanation:

User Radheshyam Nayak
by
5.2k points
3 votes
the picture in the attached figure

we know that
m ∠ 6=123.5°

m ∠6+m∠2=180°-------> by supplementary angles
so
m∠2=180-m∠6-----> 180-123.5------> m∠2=56.5°

m∠1=m∠2--------> by corresponding angles
so
m∠1=56.5°

the answer is
m∠1 is 56.5°
Two parallel lines are crossed by a transversal. If measure of angle 6 is 123.5 then-example-1
User Snaggs
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5.9k points