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Anastaziya [24]
3 years ago
9

In the following diagram \overline{DE} \parallel \overline{FG}

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Answer:

<x= 31°

Step-by-step explanation:

m<BCA= m<GCJ (vertical angles)

m<BCA= 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC=90°

m<BAC+m<ABC+m<BCA=180° (sum of triangle)

m<BAC+90°+59°=180° (substitution)

m<BAC+149°=180°

m<BAC=180°-149°

m<BAC=31°

<x=<BAC (vertical angles)

m<x=31° (substitution)

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