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motikmotik
4 years ago
12

I need the answer to the image

Mathematics
1 answer:
Levart [38]4 years ago
7 0

Answer:

∠B = 156°

Step-by-step explanation:

A line intersects two parallel lines this means that their opposite angles are transversals specifically the angles, A and B. And transversal angles are congruent so I can make this claim below:

∠A = ∠B \\ 8x +78 = 2x +144

Solving for x:

8x +78 = 2x +144 \\ 8x -2x +78 = 2x -2x +144 \\ 6x +78 -78 = 144 -78 \\ 6x = 66 \\ \frac{6x}{6} = \frac{66}{6} \\ x = 11

Solving Angle B if x = 11.

∠B = 2x +144 \\ ∠B = 2(11) +144 \\ ∠B = 22 +144 \\ ∠B = 166

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Answer:

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3 years ago
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4 0
3 years ago
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Answer:

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3 years ago
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4 years ago
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