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Darya [45]
3 years ago
9

Lines b and c are parallel.

Mathematics
2 answers:
Cloud [144]3 years ago
6 0

we know that

<u>a) By corresponding angles</u>

m∠6=m∠2

<u>b) By vertical angles</u>

m∠6=(5x+9)\°

so

m∠2=(5x+9)\° --------> equation 1

<u>c) By supplementary angles</u>

(13x+9)\°+m∠2=180\° --------> equation 2

substitute equation 1 in equation 2

(13x+9)\°+(5x+9)\°=180\°

(18x+18)\°=180\°

18x=180-18

x=9\°

<u>Find m∠6 </u>

m∠6=(5*9+9)\°

m∠6=54\°

therefore

<u>the answer is</u>

the measure of the angle 6 is 54\°

Black_prince [1.1K]3 years ago
5 0
The answer should be m angle <span>6 = 54°</span>
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